(-13,-17) , (-15,-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-(-17)-15-(-13)

Simplify.

Simplify the numerator.

Multiply -1 by -17.

m=-20+17-15-(-13)

Add -20 and 17.

m=-3-15-(-13)

m=-3-15-(-13)

Simplify the denominator.

Multiply -1 by -13.

m=-3-15+13

Add -15 and 13.

m=-3-2

m=-3-2

Dividing two negative values results in a positive value.

m=32

m=32

m=32

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

y=(32)x+b

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

y=(32)⋅(-13)+b

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

-17=(32)⋅(-13)+b

Rewrite the equation as (32)⋅(-13)+b=-17.

(32)⋅(-13)+b=-17

Simplify each term.

Multiply (32)(-13).

Combine 32 and -13.

3⋅-132+b=-17

Multiply 3 by -13.

-392+b=-17

-392+b=-17

Move the negative in front of the fraction.

-392+b=-17

-392+b=-17

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

Add 392 to both sides of the equation.

b=-17+392

To write -17 as a fraction with a common denominator, multiply by 22.

b=-17⋅22+392

Combine -17 and 22.

b=-17⋅22+392

Combine the numerators over the common denominator.

b=-17⋅2+392

Simplify the numerator.

Multiply -17 by 2.

b=-34+392

Add -34 and 39.

b=52

b=52

b=52

b=52

The values of the slope and y-intercept are m=32 and b=52.

m=32

b=52

Find the Slope and Y-Intercept (-13,-17) , (-15,-20)