(8,-1) , (2,-8)

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=-8-(-1)2-(8)

Simplify.

Simplify the numerator.

Multiply -1 by -1.

m=-8+12-(8)

Add -8 and 1.

m=-72-(8)

m=-72-(8)

Simplify the denominator.

Multiply -1 by 8.

m=-72-8

Subtract 8 from 2.

m=-7-6

m=-7-6

Dividing two negative values results in a positive value.

m=76

m=76

m=76

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

y=(76)x+b

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

y=(76)⋅(8)+b

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

-1=(76)⋅(8)+b

Rewrite the equation as (76)⋅(8)+b=-1.

(76)⋅(8)+b=-1

Simplify each term.

Cancel the common factor of 2.

Factor 2 out of 6.

72(3)⋅8+b=-1

Factor 2 out of 8.

72⋅3⋅(2⋅4)+b=-1

Cancel the common factor.

72⋅3⋅(2⋅4)+b=-1

Rewrite the expression.

73⋅4+b=-1

73⋅4+b=-1

Combine 73 and 4.

7⋅43+b=-1

Multiply 7 by 4.

283+b=-1

283+b=-1

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

Subtract 283 from both sides of the equation.

b=-1-283

To write -1 as a fraction with a common denominator, multiply by 33.

b=-1⋅33-283

Combine -1 and 33.

b=-1⋅33-283

Combine the numerators over the common denominator.

b=-1⋅3-283

Simplify the numerator.

Multiply -1 by 3.

b=-3-283

Subtract 28 from -3.

b=-313

b=-313

Move the negative in front of the fraction.

b=-313

b=-313

b=-313

The values of the slope and y-intercept are m=76 and b=-313.

m=76

b=-313

Find the Slope and Y-Intercept (8,-1) , (2,-8)