(0,7) , (2,2)

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=2-(7)2-(0)

Simplify.

Simplify the numerator.

Multiply -1 by 7.

m=2-72-(0)

Subtract 7 from 2.

m=-52-(0)

m=-52-(0)

Simplify the denominator.

Multiply -1 by 0.

m=-52+0

Add 2 and 0.

m=-52

m=-52

Move the negative in front of the fraction.

m=-52

m=-52

m=-52

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

y=(-52)⋅x+b

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

y=(-52)⋅(0)+b

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

7=(-52)⋅(0)+b

Rewrite the equation as (-52)⋅(0)+b=7.

(-52)⋅(0)+b=7

Simplify (-52)⋅(0)+b.

Multiply (-52)(0).

Multiply 0 by -1.

0(52)+b=7

Multiply 0 by 52.

0+b=7

0+b=7

Add 0 and b.

b=7

b=7

b=7

The values of the slope and y-intercept are m=-52 and b=7.

m=-52

b=7

Find the Slope and Y-Intercept (0,7) , (2,2)