(6,1) , (8,9)

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=9-(1)8-(6)

Simplify.

Simplify the numerator.

Multiply -1 by 1.

m=9-18-(6)

Subtract 1 from 9.

m=88-(6)

m=88-(6)

Simplify the denominator.

Multiply -1 by 6.

m=88-6

Subtract 6 from 8.

m=82

m=82

Divide 8 by 2.

m=4

m=4

m=4

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

y=(4)⋅x+b

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

y=(4)⋅(6)+b

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

1=(4)⋅(6)+b

Rewrite the equation as (4)⋅(6)+b=1.

(4)⋅(6)+b=1

Multiply 4 by 6.

24+b=1

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

Subtract 24 from both sides of the equation.

b=1-24

Subtract 24 from 1.

b=-23

b=-23

b=-23

The values of the slope and y-intercept are m=4 and b=-23.

m=4

b=-23

Find the Slope and Y-Intercept (6,1) , (8,9)