# Find the Slope and Y-Intercept (-2,10) , (-3,4) (-2,10) , (-3,4)
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=4-(10)-3-(-2)
Simplify.
Simplify the numerator.
Multiply -1 by 10.
m=4-10-3-(-2)
Subtract 10 from 4.
m=-6-3-(-2)
m=-6-3-(-2)
Simplify the denominator.
Multiply -1 by -2.
m=-6-3+2
m=-6-1
m=-6-1
Divide -6 by -1.
m=6
m=6
m=6
Find the value of the y-intercept.
Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
y=(6)⋅x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(6)⋅(-2)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
10=(6)⋅(-2)+b
Rewrite the equation as (6)⋅(-2)+b=10.
(6)⋅(-2)+b=10
Multiply 6 by -2.
-12+b=10
Move all terms not containing b to the right side of the equation.
Add 12 to both sides of the equation.
b=10+12
b=22
b=22
b=22
The values of the slope and y-intercept are m=6 and b=22.
m=6
b=22
Find the Slope and Y-Intercept (-2,10) , (-3,4)     