(9,-9) , (1,-16)

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=-16-(-9)1-(9)

Simplify.

Simplify the numerator.

Multiply -1 by -9.

m=-16+91-(9)

Add -16 and 9.

m=-71-(9)

m=-71-(9)

Simplify the denominator.

Multiply -1 by 9.

m=-71-9

Subtract 9 from 1.

m=-7-8

m=-7-8

Dividing two negative values results in a positive value.

m=78

m=78

m=78

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

y=(78)x+b

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

y=(78)⋅(9)+b

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

-9=(78)⋅(9)+b

Rewrite the equation as (78)⋅(9)+b=-9.

(78)⋅(9)+b=-9

Multiply (78)(9).

Combine 78 and 9.

7⋅98+b=-9

Multiply 7 by 9.

638+b=-9

638+b=-9

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

Subtract 638 from both sides of the equation.

b=-9-638

To write -9 as a fraction with a common denominator, multiply by 88.

b=-9⋅88-638

Combine -9 and 88.

b=-9⋅88-638

Combine the numerators over the common denominator.

b=-9⋅8-638

Simplify the numerator.

Multiply -9 by 8.

b=-72-638

Subtract 63 from -72.

b=-1358

b=-1358

Move the negative in front of the fraction.

b=-1358

b=-1358

b=-1358

The values of the slope and y-intercept are m=78 and b=-1358.

m=78

b=-1358

Find the Slope and Y-Intercept (9,-9) , (1,-16)