(4,4) , (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-(4)6-(4)

Simplify.

Simplify the numerator.

Multiply -1 by 4.

m=2-46-(4)

Subtract 4 from 2.

m=-26-(4)

m=-26-(4)

Simplify the denominator.

Multiply -1 by 4.

m=-26-4

Subtract 4 from 6.

m=-22

m=-22

Divide -2 by 2.

m=-1

m=-1

m=-1

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

y=(-1)⋅x+b

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

y=(-1)⋅(4)+b

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

4=(-1)⋅(4)+b

Rewrite the equation as (-1)⋅(4)+b=4.

(-1)⋅(4)+b=4

Multiply -1 by 4.

-4+b=4

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

Add 4 to both sides of the equation.

b=4+4

Add 4 and 4.

b=8

b=8

b=8

The values of the slope and y-intercept are m=-1 and b=8.

m=-1

b=8

Find the Slope and Y-Intercept (4,4) , (6,2)