# Find the Slope and Y-Intercept (0,8) , (4,16) (0,8) , (4,16)
Find the value of the slope.
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=16-(8)4-(0)
Simplify.
Simplify the numerator.
Multiply -1 by 8.
m=16-84-(0)
Subtract 8 from 16.
m=84-(0)
m=84-(0)
Simplify the denominator.
Multiply -1 by 0.
m=84+0
m=84
m=84
Divide 8 by 4.
m=2
m=2
m=2
Find the value of the y-intercept.
Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
y=(2)⋅x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(2)⋅(0)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
8=(2)⋅(0)+b
Rewrite the equation as (2)⋅(0)+b=8.
(2)⋅(0)+b=8
Simplify (2)⋅(0)+b.
Multiply 2 by 0.
0+b=8
b=8
b=8
b=8
The values of the slope and y-intercept are m=2 and b=8.
m=2
b=8
Find the Slope and Y-Intercept (0,8) , (4,16)     