(0,8) , (3,4)

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=4-(8)3-(0)

Simplify.

Simplify the numerator.

Multiply -1 by 8.

m=4-83-(0)

Subtract 8 from 4.

m=-43-(0)

m=-43-(0)

Simplify the denominator.

Multiply -1 by 0.

m=-43+0

Add 3 and 0.

m=-43

m=-43

Move the negative in front of the fraction.

m=-43

m=-43

m=-43

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

y=(-43)⋅x+b

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

y=(-43)⋅(0)+b

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

8=(-43)⋅(0)+b

Rewrite the equation as (-43)⋅(0)+b=8.

(-43)⋅(0)+b=8

Simplify (-43)⋅(0)+b.

Multiply (-43)(0).

Multiply 0 by -1.

0(43)+b=8

Multiply 0 by 43.

0+b=8

0+b=8

Add 0 and b.

b=8

b=8

b=8

The values of the slope and y-intercept are m=-43 and b=8.

m=-43

b=8

Find the Slope and Y-Intercept (0,8) , (3,4)