(-13,-7) , (-19,-11)

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=-11-(-7)-19-(-13)

Simplify.

Simplify the numerator.

Multiply -1 by -7.

m=-11+7-19-(-13)

Add -11 and 7.

m=-4-19-(-13)

m=-4-19-(-13)

Simplify the denominator.

Multiply -1 by -13.

m=-4-19+13

Add -19 and 13.

m=-4-6

m=-4-6

Cancel the common factor of -4 and -6.

Factor -2 out of -4.

m=-2⋅2-6

Cancel the common factors.

Factor -2 out of -6.

m=-2⋅2-2⋅3

Cancel the common factor.

m=-2⋅2-2⋅3

Rewrite the expression.

m=23

m=23

m=23

m=23

m=23

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

y=(23)x+b

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

y=(23)⋅(-13)+b

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

-7=(23)⋅(-13)+b

Rewrite the equation as (23)⋅(-13)+b=-7.

(23)⋅(-13)+b=-7

Simplify each term.

Multiply (23)(-13).

Combine 23 and -13.

2⋅-133+b=-7

Multiply 2 by -13.

-263+b=-7

-263+b=-7

Move the negative in front of the fraction.

-263+b=-7

-263+b=-7

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

Add 263 to both sides of the equation.

b=-7+263

To write -7 as a fraction with a common denominator, multiply by 33.

b=-7⋅33+263

Combine -7 and 33.

b=-7⋅33+263

Combine the numerators over the common denominator.

b=-7⋅3+263

Simplify the numerator.

Multiply -7 by 3.

b=-21+263

Add -21 and 26.

b=53

b=53

b=53

b=53

The values of the slope and y-intercept are m=23 and b=53.

m=23

b=53

Find the Slope and Y-Intercept (-13,-7) , (-19,-11)