Show your work - and explain how to do it cuz im lost

(0,7)

Step-by-step:

Slope is equal to the change in y over the change in x, or rise over run.

m= Change in y/Change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).

m= y2-y1/x2-y1

Substitute in the values of x and y into the equation to find the slope.

m= −8−(1)/5-(2)

Simplify the numerator.

Multiply −1 by 1.

m=-8-1/5-(2)

Subtract 1 from -8

m=-9/5-2

Simplify the denominator.

Multiply −1 by 2.

m=-9/5-2

Subtract 2 from 5

m=-9/3

Divide −9 by 3.

m=−3

Find the value of the y-intercept.

Substitute the value of m into the slope-intercept form of the equation, y=mx+b.

y=(−3)⋅x+b

Substitute the value of x into the slope-intercept form of the equation, y=mx+b

y=(−3)⋅(2)+b

Substitute the value of y into the slope-intercept form of the equation , y=mx+b.

1=(−3)⋅(2)+b

Rewrite the equation as (−3)⋅(2)+b=1.

(−3)⋅(2)+b=1

Multiply −3 by 2.

−6+b=1

Move all terms not containing b to the right side of the equation.

Add 6 to both sides of the equation.

b=1+6

Add 1 and 6.

b=7

List the slope and y-intercept.

Slope:−3

y-intercept: (0,7)