(0,7) , (0.5,-9)

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=-9-(7)0.5-(0)

Simplify.

Simplify the numerator.

Multiply -1 by 7.

m=-9-70.5-(0)

Subtract 7 from -9.

m=-160.5-(0)

m=-160.5-(0)

Simplify the denominator.

Multiply -1 by 0.

m=-160.5+0

Add 0.5 and 0.

m=-160.5

m=-160.5

Divide -16 by 0.5.

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)⋅(0)+b

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

7=(-32)⋅(0)+b

Rewrite the equation as (-32)⋅(0)+b=7.

(-32)⋅(0)+b=7

Simplify (-32)⋅(0)+b.

Multiply -32 by 0.

0+b=7

Add 0 and b.

b=7

b=7

b=7

The values of the slope and y-intercept are m=-32 and b=7.

m=-32

b=7

Find the Slope and Y-Intercept (0,7) , (0.5,-9)