(6,-2) , (8,-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-(-2)8-(6)

Simplify.

Simplify the numerator.

Multiply -1 by -2.

m=-9+28-(6)

Add -9 and 2.

m=-78-(6)

m=-78-(6)

Simplify the denominator.

Multiply -1 by 6.

m=-78-6

Subtract 6 from 8.

m=-72

m=-72

Move the negative in front of the fraction.

m=-72

m=-72

m=-72

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

y=(-72)⋅x+b

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

y=(-72)⋅(6)+b

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

-2=(-72)⋅(6)+b

Rewrite the equation as (-72)⋅(6)+b=-2.

(-72)⋅(6)+b=-2

Simplify each term.

Cancel the common factor of 2.

Move the leading negative in -72 into the numerator.

-72⋅6+b=-2

Factor 2 out of 6.

-72⋅(2(3))+b=-2

Cancel the common factor.

-72⋅(2⋅3)+b=-2

Rewrite the expression.

-7⋅3+b=-2

-7⋅3+b=-2

Multiply -7 by 3.

-21+b=-2

-21+b=-2

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

Add 21 to both sides of the equation.

b=-2+21

Add -2 and 21.

b=19

b=19

b=19

The values of the slope and y-intercept are m=-72 and b=19.

m=-72

b=19

Find the Slope and Y-Intercept (6,-2) , (8,-9)