(0,-3) , (5,5)

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=5-(-3)5-(0)

Simplify.

Simplify the numerator.

Multiply -1 by -3.

m=5+35-(0)

Add 5 and 3.

m=85-(0)

m=85-(0)

Simplify the denominator.

Multiply -1 by 0.

m=85+0

Add 5 and 0.

m=85

m=85

m=85

m=85

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

y=(85)x+b

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

y=(85)⋅(0)+b

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

-3=(85)⋅(0)+b

Rewrite the equation as (85)⋅(0)+b=-3.

(85)⋅(0)+b=-3

Simplify (85)⋅(0)+b.

Multiply 85 by 0.

0+b=-3

Add 0 and b.

b=-3

b=-3

b=-3

The values of the slope and y-intercept are m=85 and b=-3.

m=85

b=-3

Find the Slope and Y-Intercept (0,-3) , (5,5)