# Find the Slope and Y-Intercept (4,4) , (6,2) (4,4) , (6,2)
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=2-(4)6-(4)
Simplify.
Simplify the numerator.
Multiply -1 by 4.
m=2-46-(4)
Subtract 4 from 2.
m=-26-(4)
m=-26-(4)
Simplify the denominator.
Multiply -1 by 4.
m=-26-4
Subtract 4 from 6.
m=-22
m=-22
Divide -2 by 2.
m=-1
m=-1
m=-1
Find the value of the y-intercept.
Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
y=(-1)⋅x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(-1)⋅(4)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
4=(-1)⋅(4)+b
Rewrite the equation as (-1)⋅(4)+b=4.
(-1)⋅(4)+b=4
Multiply -1 by 4.
-4+b=4
Move all terms not containing b to the right side of the equation.
Add 4 to both sides of the equation.
b=4+4
Add 4 and 4.
b=8
b=8
b=8
The values of the slope and y-intercept are m=-1 and b=8.
m=-1
b=8
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