(-15,-11) , (-18,-20)

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

m=change in ychange 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-y1x2-x1

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

m=-20-(-11)-18-(-15)

Simplify.

Simplify the numerator.

Multiply -1 by -11.

m=-20+11-18-(-15)

Add -20 and 11.

m=-9-18-(-15)

m=-9-18-(-15)

Simplify the denominator.

Multiply -1 by -15.

m=-9-18+15

Add -18 and 15.

m=-9-3

m=-9-3

Divide -9 by -3.

m=3

m=3

m=3

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)⋅(-15)+b

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

-11=(3)⋅(-15)+b

Rewrite the equation as (3)⋅(-15)+b=-11.

(3)⋅(-15)+b=-11

Multiply 3 by -15.

-45+b=-11

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

Add 45 to both sides of the equation.

b=-11+45

Add -11 and 45.

b=34

b=34

b=34

The values of the slope and y-intercept are m=3 and b=34.

m=3

b=34

Find the Slope and Y-Intercept (-15,-11) , (-18,-20)