# Find the Slope and Y-Intercept (-9,4) , (-6,10) (-9,4) , (-6,10)
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=10-(4)-6-(-9)
Simplify.
Simplify the numerator.
Multiply -1 by 4.
m=10-4-6-(-9)
Subtract 4 from 10.
m=6-6-(-9)
m=6-6-(-9)
Simplify the denominator.
Multiply -1 by -9.
m=6-6+9
m=63
m=63
Divide 6 by 3.
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)⋅(-9)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
4=(2)⋅(-9)+b
Rewrite the equation as (2)⋅(-9)+b=4.
(2)⋅(-9)+b=4
Multiply 2 by -9.
-18+b=4
Move all terms not containing b to the right side of the equation.
Add 18 to both sides of the equation.
b=4+18
b=22
b=22
b=22
The values of the slope and y-intercept are m=2 and b=22.
m=2
b=22
Find the Slope and Y-Intercept (-9,4) , (-6,10)     