Question

Find the slope, Y-intercept, and equation (make sure there is no decimals if there is a decimal make it into a fraction)!

Answer 1

Slope is 5/3

y-intercept = -3

y = 5/3x - 3

Explanation:

To find the slope, take to coordinates and use the equation below

`m = \frac{\text{rise}}{\text{run}} = (y_2 - y_1)/(x_2 - x_1)`

7-2 = 5

6-3= 3

Now you have your slope which is 5/3

Then take the slope and input it into point slope form to get your y-intercept.

y-y₁=m(x-x₁)

y-2 = 5/3(x-3)

y-2=5/3x-5

add two to both sides to get Y by itself

y = 5/3x - 3

now you have your y-intercept, which is -3

Then check your answer by inputing two different coordinates for X and Y

7 = 5/3(6)-3

7=7

12= 5/3(9)-3

12=12