# Find the Slope and Y-Intercept (-1,0) , (0,8) (-1,0) , (0,8)
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=8-(0)0-(-1)
Simplify.
Simplify the numerator.
Multiply -1 by 0.
m=8+00-(-1)
m=80-(-1)
m=80-(-1)
Simplify the denominator.
Multiply -1 by -1.
m=80+1
m=81
m=81
Divide 8 by 1.
m=8
m=8
m=8
Find the value of the y-intercept.
Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
y=(8)⋅x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(8)⋅(-1)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
0=(8)⋅(-1)+b
Rewrite the equation as (8)⋅(-1)+b=0.
(8)⋅(-1)+b=0
Multiply 8 by -1.
-8+b=0
Add 8 to both sides of the equation.
b=8
b=8
The values of the slope and y-intercept are m=8 and b=8.
m=8
b=8
Find the Slope and Y-Intercept (-1,0) , (0,8)     