(-6,-1) , (-9,6)

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=6-(-1)-9-(-6)

Simplify.

Simplify the numerator.

Multiply -1 by -1.

m=6+1-9-(-6)

Add 6 and 1.

m=7-9-(-6)

m=7-9-(-6)

Simplify the denominator.

Multiply -1 by -6.

m=7-9+6

Add -9 and 6.

m=7-3

m=7-3

Move the negative in front of the fraction.

m=-73

m=-73

m=-73

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

y=(-73)⋅x+b

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

y=(-73)⋅(-6)+b

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

-1=(-73)⋅(-6)+b

Rewrite the equation as (-73)⋅(-6)+b=-1.

(-73)⋅(-6)+b=-1

Simplify each term.

Cancel the common factor of 3.

Move the leading negative in -73 into the numerator.

-73⋅-6+b=-1

Factor 3 out of -6.

-73⋅(3(-2))+b=-1

Cancel the common factor.

-73⋅(3⋅-2)+b=-1

Rewrite the expression.

-7⋅-2+b=-1

-7⋅-2+b=-1

Multiply -7 by -2.

14+b=-1

14+b=-1

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

Subtract 14 from both sides of the equation.

b=-1-14

Subtract 14 from -1.

b=-15

b=-15

b=-15

The values of the slope and y-intercept are m=-73 and b=-15.

m=-73

b=-15

Find the Slope and Y-Intercept (-6,-1) , (-9,6)