(-6,0) , (6,-3)

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=-3-(0)6-(-6)

Simplify.

Reduce the expression by cancelling the common factors.

Cancel the common factor of -3-(0) and 6-(-6).

Rewrite -3 as -1(3).

m=-1⋅3-(0)6-(-6)

Factor -1 out of -1(3)-(0).

m=-1(3+0)6-(-6)

Reorder terms.

m=-1(3+0)6-6⋅-1

Factor 3 out of -1(3+0).

m=3(-1(1+0))6-6⋅-1

Cancel the common factors.

Factor 3 out of 6.

m=3(-1(1+0))3(2)-6⋅-1

Factor 3 out of -6⋅-1.

m=3(-1(1+0))3(2)+3(-2⋅-1)

Factor 3 out of 3(2)+3(-2⋅-1).

m=3(-1(1+0))3(2-2⋅-1)

Cancel the common factor.

m=3(-1(1+0))3(2-2⋅-1)

Rewrite the expression.

m=-1(1+0)2-2⋅-1

m=-1(1+0)2-2⋅-1

m=-1(1+0)2-2⋅-1

Add 1 and 0.

m=-1⋅12-2⋅-1

m=-1⋅12-2⋅-1

Simplify the denominator.

Multiply -2 by -1.

m=-1⋅12+2

Add 2 and 2.

m=-1⋅14

m=-1⋅14

Simplify the expression.

Multiply -1 by 1.

m=-14

Move the negative in front of the fraction.

m=-14

m=-14

m=-14

m=-14

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

y=(-14)⋅x+b

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

y=(-14)⋅(-6)+b

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

0=(-14)⋅(-6)+b

Rewrite the equation as (-14)⋅(-6)+b=0.

(-14)⋅(-6)+b=0

Simplify each term.

Cancel the common factor of 2.

Move the leading negative in -14 into the numerator.

-14⋅-6+b=0

Factor 2 out of 4.

-12(2)⋅-6+b=0

Factor 2 out of -6.

-12⋅2⋅(2⋅-3)+b=0

Cancel the common factor.

-12⋅2⋅(2⋅-3)+b=0

Rewrite the expression.

-12⋅-3+b=0

-12⋅-3+b=0

Combine -12 and -3.

–32+b=0

Multiply -1 by -3.

32+b=0

32+b=0

Subtract 32 from both sides of the equation.

b=-32

b=-32

The values of the slope and y-intercept are m=-14 and b=-32.

m=-14

b=-32

Find the Slope and Y-Intercept (-6,0) , (6,-3)