# Find the Slope and Y-Intercept (10,-11) , (9,8) (10,-11) , (9,8)
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-(-11)9-(10)
Simplify.
Simplify the numerator.
Multiply -1 by -11.
m=8+119-(10)
Add 8 and 11.
m=199-(10)
m=199-(10)
Simplify the denominator.
Multiply -1 by 10.
m=199-10
Subtract 10 from 9.
m=19-1
m=19-1
Divide 19 by -1.
m=-19
m=-19
m=-19
Find the value of the y-intercept.
Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
y=(-19)⋅x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(-19)⋅(10)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
-11=(-19)⋅(10)+b
Rewrite the equation as (-19)⋅(10)+b=-11.
(-19)⋅(10)+b=-11
Multiply -19 by 10.
-190+b=-11
Move all terms not containing b to the right side of the equation.
Add 190 to both sides of the equation.
b=-11+190
Add -11 and 190.
b=179
b=179
b=179
The values of the slope and y-intercept are m=-19 and b=179.
m=-19
b=179
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