What is the slope of the line that passes through
the points (-1,3) and (5, 7)?

What Is The Slope Of The Line That Passes Throughthe Points (-1,3) And (5, 7)?

Answers

Answer 1

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

For this situation we will use this equation:

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

This lets us find the slope from a set of points (m being the slope of course), with each one representing a coordinate from our set. (e.g. 7 could be [tex]y_{2}[/tex])

First let's define which coordinates will represent each:

(-1,3): [tex]x_{1} ,y_{1}[/tex]

(5,7): [tex]x_{2} ,y_{2}[/tex]

Now that we have this, we can fill in our coordinates: [tex]m = \frac{7-3}{5-(-1)}[/tex]

Next we simplify: [tex]m = \frac{4}{5+1}[/tex] (double negative = positive)

And simplify some more: [tex]m = \frac{4}{6}[/tex]

Finally, we find the GCF (greatest common factor) of 4 and 6, which is 2, and divide by that to further simplify the fraction: [tex]m = \frac{2}{3}[/tex]

Therefore, the slope of the line that passes through the points (-1,3) and (5,7) is [tex]\frac{2}{3}[/tex].


Related Questions

please help i need it quickly i only have 5 minutes left. ill give brainliest.

Answers

Answer:

A

B

C

Step-by-step explanation:

A

11=4(7)-17

11=28-17

11=11

B

-13=4(1)-17

-13=4-17

-13=-13

C

-1=4(4)-17

-1=16-17

-1=-1

What is the mean of the following data values?
53, 71, 89, 10, 62

Answers

Answer:

Ok so I kind of want you to learn how to do this because its really easy. You add up all of the numbers then you count how many numbers there are and you divide of all of the numbers that you added up  and the sum of how many numbers there are for example if I had 34,65, 75, 85, 14, and 23 It would be 34+65+75+85+14+23= 269. There are 6 numbers so 269 divided by 6 and you get 44.8 IF THIS HELPS!!

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

What is the significance of a correlation coefficient of -0.97?

A. The points all lie very close to the line of fit, and the
line is decreasing.

B. The points all lie very close to the line of fit, and the
line is increasing.

C. The points do not follow the line of fit and, the line is
decreasing.

D. The points do not follow the line of fit, and the line is
increasing.

Answers

Answer:

It's A. The points all lie very close to the line of fit, and the line is decreasing.

Step-by-step explanation:

The points all lie very close to the line of fit, and the line is decreasing option (A) is correct.

What is correlation?

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]

It is given that:

The value of the correlation coefficient r = -0.97

As we know,

If the value of the correlation coefficient is positive it represents the line of best-fit increasing.

If the value of the correlation coefficient is negative it represents the line of best fit decreasing.

If the value of r is close to 1 then we can say that the correlation between the two variables is very strong.

Thus, the points all lie very close to the line of fit, and the line is decreasing option (A) is correct.

Learn more about the correlation here:

brainly.com/question/11705632

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derive the equation of a parabola with a focus of (-7,5) and a directrix of y=-11
I need help with this question

Answers

Answer:

The equation of the parabola is;

(y + 11)^2/120 = (x + 7)^2 + (y-5)^2

Step-by-step explanation:

Here, we are given the focus (-7,5) and the directix y = -11

We proceed to find the equation of the parabola

That would be in the form;

(y- mx - b)^2 /m^2 + 1 = (x- h)^2 + (y-k)^2

Let’s write the directix in the form y = mx + b

This shows that m = 0 and b = -11

Also h = -7 and k = 5

So let’s substitute;

(y + 11)^2 /(-11^2 + 1) = (x+7)^2 + (y-5)^2

= (y + 11)^2/120 = (x + 7)^2 + (y-5)^2

Answer:

★ The answer is down BELOW

EQUATION : (y + 11)^2/120 = (x + 7)^2 + (y-5)^2

Step-by-step explanation:

Hope you have a great day

[Supporting Standard: I can find the sum of an infinite series.]
4. Find the sum of the following series: 600 + 150 + 37.5 ...

Answers

Answer:

787.5 is the answer.

Step-by-step explanation:

FOLLOW ME

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please Mark as brainlist

On her way to visit Horace Mann University, Casey stopped by Mount Rushmore in South Dakota. The park ranger gave a talk that described the history of the monument and provided some interesting facts. Casey could not believe that the carving of George Washington’s face is 60feet tall from his chin to the top of his head!
However, when a tourist asked about the length of Washington’s nose, the ranger was stumped! Casey came to her rescue by measuring, calculating and getting an answer.
How did Casey get an answer?

Answers

Answer:

  using a proportion relating nose length to head height

Step-by-step explanation:

Casey measured the nose length, and found the fraction that was of the head height. Then Casey found the same fraction of 60 feet to find the actual nose length.

__

Casey could use a photograph, poster, postcard, or a ruler held at arm's length, to make the necessary measurements.

Compare solving equations with solving inequalities. How are the processes similar or different?

Answers

Answer:

Similarities

1. Adding or subtracting a number from both sides.

2. Multiplying or dividing both sides by a positive number.

3. Applying an increasing function to both sides.

4. Simplifying one or both sides.

Differences

1. Multiplying or dividing both sides by a negative number changes the direction of an inequality. So we cannot multiply or divide both sides by a variable unless we know that the variable is either always positive or always negative. This is not a concern when solving equalities.

2. When applying a decreasing function to both sides of an inequality, the direction of the inequality changes.

3. Swapping both sides of an inequality also changes the direction of an inequality. Again we don't have to worry about this with equalities.

An APD Police officer has to write at least 80 speeding
tickets. How many more tickets must a police officer write
if they have already given 27 speeding tickets? Write and
solve the inequality representing this situation.

Answers

Answer:

x=[tex]\geq[/tex]80-27

Step-by-step explanation:

there is needed atleast 80 tickets and you've given 27 so you would need a minimum of 53 tickets to make the inequilaty true

if i have a 92% grade and i get 14/20 aka 70% on a test what is my grade

Answers

Answer: U misluk nee A beteken dat u misluk

Solve –7x + 23 = 37.

Answers

Answer:

x = -2

Step-by-step explanation:

-7x + 23 = 37

~Subtract 23 to both sides

-7x = 14

~Divide -7 to both sides

x = -2

Best of Luck!

which expressions are equal to 3/5 × 6

a. 3 × ( 6 ÷ 5 )

b. 3 ÷ (5 × 6 )

c. ( 3 × 6 ) ÷ 5

d. 3 × 6/5

Answers

Answer:

A & C & D

Step-by-step explanation:

A & C & D both show the commutative property of multiplication and therefore is the correct answer because 3/5(6) = 18/5 and 3(6/5) is also 18/5.

3 x (6÷5) is also 18/5

(3×6)÷5 is also 18/5

*I WILL MARK BRAINLIEST* PLS HELP ASAP

Answers

What?

joshuasalazar697 avatar

A because u should have gotten a 3x after adding them together since u do what is inside the () before anything

fionaferlich1 avatar

3+x does not equal 3x

joshuasalazar697 avatar

y not

fionaferlich1 avatar

because 3x equals x times x times x not 3+x

joshuasalazar697 avatar

but why is it d

joshuasalazar697 avatar

they did it right u have to divide it from the right to the left

fionaferlich1 avatar

a rule of inequalities is when you divide by a negative the sign switches. so because u had to divide the entire thing by -6 it should be x is greater than -1

joshuasalazar697 avatar

no u have to divide it by positive 6 cause u are taking it the 6 from the right and moving it under the 6 from the left wich u would divide

fionaferlich1 avatar

u always divide by the coefficient of x and that's -6

joshuasalazar697 avatar

no cause since u moved all the letters to the right and all the lone numbers to the left u have to take that last one and divide it from the one with the x

fionaferlich1 avatar

the one with the x is the coefficient of x which is -6

joshuasalazar697 avatar

yeah i know that ut u don't divide the 6 from the -6x like u gonna divide -6x by 6

joshuasalazar697 avatar

also if i am wrong what happened to the 3 and why did it turn to an 18

fionaferlich1 avatar

so say that's what you're supposed to do (which it is ) but then u would get -x>1 and x must be positive

joshuasalazar697 avatar

i should have paid attention in algebra no wonder I don't get geometry but geometry is way easier

joshuasalazar697 avatar

i see what u are getting to now

joshuasalazar697 avatar

still don't see how 3 turned into 18

joshuasalazar697 avatar

i just say this hole thing is written wrong from the start and made it all wrong

there is ur explanation

Answer:

d

Step-by-step explanation:

since when u divide by a negative it switches signs

A rocket is launched from a tower. The height of the rocket, why in feet is related to the time after launch, X and seconds, by the given equation. Using this equation find out the time at which the rocket will reach its max, to the nearest 100th of a second y=-16x + 152x + 74

Answers

Given:

Consider the height of the rocket, in feet after x seconds of launch is

[tex]y=-16x^2+152x+74[/tex]

To find:

The time at which the rocket will reach its max, to the nearest 100th of a second.

Solution:

We have,

[tex]y=-16x^2+152x+74[/tex]

It is a quadratic polynomial with negative leading coefficient. So, it is a downward parabola.

Vertex of a downward parabola is the point of maxima.

To find the time at which the rocket will reach its max, we need to find the x-coordinate of the vertex.

If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex], then the vertex is

[tex]Vertex=\left(-\dfrac{b}{2a},f\left(-\dfrac{b}{2a}\right)\right)[/tex]

Here, [tex]a=-16,b=152,c=74[/tex].

So,

[tex]-\dfrac{b}{2a}=-\dfrac{152}{2(-16)}[/tex]

[tex]-\dfrac{b}{2a}=-\dfrac{152}{-32}[/tex]

[tex]-\dfrac{b}{2a}=4.75[/tex]

So, x-coordinate of the vertex is 4.75.

Therefore, the rocket will reach its max at 4.75 second.

x+(y+z) = (x+y) + z is the example of what property?

Answers

Math or equations is the answer

Teresa purchased a prepaid phone card for $15 . Long distance calls cost 24 cents a minute using this card. Teresa used her card only once to make a long distance call. If the remaining credit on her card is $3.96 , how many minutes did her call last?

Answers

Answer:

46 minutes

Step-by-step explanation:

Teresa purchased a prepaid phone for $15

Long distance calls cost 24 cents a minute using this card

She used the card just once to make a long distance call

The remaining credit on her card was $3.96

Therefore the minutes in which her call lasted can be calculated as follows

Let x represent the minutes

15 - 24/100x= 3.96

15-0.24x= 3.96

-0.24x= 3.96-15

-0.24x= -11.04

x= 11.04/0.24

x = 46

Hence Teresa call lasted for 46 minutes

A teacher chooses two students in a class of 15 girls and 10 boys. The students are randomly chosen. What is the probability that the teacher chooses two girls?

Answers

It’s 3 in a 5 chance that the teacher would choose

The probability that the teacher chooses two girls is 3 / 5.

What is probability?

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of sample

Given that a teacher chooses two students in a class of 15 girls and 10 boys. The probability is calculated as:-

P = 15 / 25

P = 3 / 5

Hence, the probability is 3 / 5.

To know more about probability follow

https://brainly.com/question/24756209

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Which quadratic expression represents the product of these factors?

(2x + 5)(7 − 4x)

A.
-8x2 + 34x − 35
B.
-8x2 + 6x − 35
C.
-8x2 − 6x + 35
D.
-8x2 − 34x + 35

Answers

The answer is C.

-8x^2-6x+35

The answer is c -8x^2-6x+35

what is the value of a ​

Answers

i cant see anything. is there a picture?

Step-by-step explanation:

take a pic or something cause I can't see it

an obese man, 5'0 tall and 160 pounds, sets a long-term goal to lose 40 pounds. What is a reasonable benchmark he might set for himself​

Answers

Answer: Lose 10 pounds in 3 months

Step-by-step explanation: 5'0, 160, 40 ~ 10 > 3 Months

24 is equal to 25% of a number n. Write and solve an equation to find n. Write the percent as a Decimal. PLEASE HELP ME

Answers

Answer:

Equation: 25% x n = 24

n = 96

Step-by-step explanation:

Because of means to multiply 25% OF n would mean you multiply to solve for n you would do the opposite which is dividing. 25% is the same as .25 so you would do...

24 ÷ .25 = 96

So 96 = n

Hope that helps and have a great day!

It might be hard to see but please help me out!

Answers

Answer:

X: (-2)   (-1)    (0)      (1)      (2)

y: (5)     (4)    (5)      (8)     (13)

Step-by-step explanation:

╰(▔∀▔)╯   (─‿‿─)    (*^‿^*)    ヽ(o^ ^o)ノ    (✯◡✯)    (◕‿◕)    (*≧ω≦*)

Which of the following is a line perpendicular
to y = 3x-7?

Answers

Answer:

y=-1/3x-7

Step-by-step explanation:

Change the sign of x and flip the slope. 3/1 equals -1/3.

Question 3
Consider the expression 36+30 .



Which answer correctly shows this expression rewritten using the distributive property?

Answers

Answer:

I think that's 18

Step-by-step explanation:

2.

Select the correct answer.
What is a unit rate?
A.
a rate with one in the numerator
B.
a rate in which the numerator and the denominator are equal
a rate with one in the denominator
D.
a rate in
the denominator is greater than the numerator
sa ghich
Reset
Next

Answers

The answer might be D:)

given the following formula, solve for t​

Answers

Answer:

C

Step-by-step explanation:

Given

v = u + at ( subtract u from both sides )

v - u = at ( isolate t by dividing both sides by a )

[tex]\frac{v-u}{a}[/tex] = t

Convert 8 centimeters to millimeters.

Answers

Answer:

80mm

Step-by-step explanation:

As 1 cm = 10 mm

8 cm=80 mm

Answer:

80 millimeters

Step-by-step explanation:

Well you convert it

1) Ao somar o quíntuplo de um número com 5², o total é 300. Considerando x como a incógnita. Qual o valor de x?
a)25
b)5
c)325
d)55

2) O triplo de um número aumentado do dobro desse mesmo número é igual a 100. Considerando a incógnita como y, qual o valor de y?
a)100
b)20
c)24
d)5

3) A metade de um número, menos 21, é igual a -5. Considere x o valor a ser determinado. É correto afirmar que x é igual a?
a)52
b)-32
c)32
d)16

4)Ao resolver a expressão y - 30 = 3 . 15, qual o valor de y?
a)75
b)65
c)55
d)45

5)Observe a equação 3x + 72 = 104. Qual descrição abaixo corresponde a ela?
a)A soma entre o triplo de um número e 72 é igual a 104
b)O triplo de um número subtraído de 104 é igual a 72
c)O triplo de 3 é igual a 104 somado a 72

6) Quando subtraímos 50 do triplo um número, obtemos 40. Qual equação representa essa afirmação?
a)3x = 50 - 40
b)3x - 50 = 40
c)3x = 40 - 50

7) Determine a solução das seguintes equações do 1º grau com uma incógnita. 63y + 75 = 327. Qual o valor de y=?
a)2
b)4
c)6
d)8

8) Determine a solução das seguintes equações do 1º grau com uma incógnita. 13x - 100 = 8x. Quanto vale x=?
a)18
b)19
c)20
d)21

9) Determine a solução das seguintes equações do 1º grau com uma incógnita. 10 (x + 1) - 8 (x - 2)= 30 . Quanto vale x=?
a)1
b)2
c)4
d)8

10) Determine a solução das seguintes equações do 1º grau com uma incógnita. 10 + 9y = 100. Quanto vale y=?
a)9
b)10
c)11
d)12

Answers

Answer:

Huh?

Step-by-step explanation:

Theequationforlineucanbewrittenasy = 6x + 6 . Line v , whichisperpendiculartoline u , includes the point (10, –5) . What is the equation of line v ? Write the equation in slope-intercept form. Write the numbers in the equation as proper fractions, improper fractions, or integers.

Answers

Answer:

[tex]y=\frac{-1}{6}x-\frac{10}{3}[/tex]

Step-by-step explanation:

Slope intercept form of the equation of a line is [tex]y=mx+b[/tex] where m denotes the slope of line and [tex]b[/tex] denotes the y-intercept.

Equation of a line u is [tex]y=6x+6[/tex]

Here, slope of line u = m = 6

As the line v is perpendicular to line u, product of slopes of both the lines is equal to [tex]-1[/tex].

Slope of line v  [tex]=\frac{-1}{6}[/tex]

So, slope intercept form of the line v is [tex]y=\frac{-1}{6}x+b[/tex]

As point [tex](10,-5)[/tex] lies on the line v, put [tex](x,y)=(10,-5)[/tex] in equation [tex]y=\frac{-1}{6}x+b[/tex]

[tex]-5=\frac{-1}{6}(10)+b\\-5=\frac{-5}{3}+b\\ -5+\frac{5}{3}=b\\\frac{-15+5}{3}=b\\\\\frac{-10}{3}=b[/tex]

Equation of line v is [tex]y=\frac{-1}{6}x-\frac{10}{3}[/tex]

q = 3x + 9x? idk this one lol

Answers

Answer:

q = 12x

Step-by-step explanation:

q = 3x + 9x

Combine like terms

q = 12x

need help with #20 asap appreciate it

Answers

Answer:

The other endpoint would be (-7, -4)

Step-by-step explanation:

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