(1,-6) , (6,2)

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=2-(-6)6-(1)

Simplify.

Simplify the numerator.

Multiply -1 by -6.

m=2+66-(1)

Add 2 and 6.

m=86-(1)

m=86-(1)

Simplify the denominator.

Multiply -1 by 1.

m=86-1

Subtract 1 from 6.

m=85

m=85

m=85

m=85

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

y=(85)x+b

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

y=(85)⋅(1)+b

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

-6=(85)⋅(1)+b

Rewrite the equation as (85)⋅(1)+b=-6.

(85)⋅(1)+b=-6

Multiply 85 by 1.

85+b=-6

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

Subtract 85 from both sides of the equation.

b=-6-85

To write -6 as a fraction with a common denominator, multiply by 55.

b=-6⋅55-85

Combine -6 and 55.

b=-6⋅55-85

Combine the numerators over the common denominator.

b=-6⋅5-85

Simplify the numerator.

Multiply -6 by 5.

b=-30-85

Subtract 8 from -30.

b=-385

b=-385

Move the negative in front of the fraction.

b=-385

b=-385

b=-385

The values of the slope and y-intercept are m=85 and b=-385.

m=85

b=-385

Find the Slope and Y-Intercept (1,-6) , (6,2)