# Find the Slope and Y-Intercept (-4,4) , (4,4) (-4,4) , (4,4)
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-(4)4-(-4)
Simplify.
Reduce the expression by cancelling the common factors.
Cancel the common factor of 4-(4) and 4-(-4).
Rewrite 4 as -1(-4).
m=-1⋅-4-(4)4-(-4)
Factor -1 out of -1(-4)-(4).
m=-1(-4+4)4-(-4)
Reorder terms.
m=-1(-4+4)4-4⋅-1
Factor 4 out of -1(-4+4).
m=4(-1(-1+1))4-4⋅-1
Cancel the common factors.
Factor 4 out of 4.
m=4(-1(-1+1))4(1)-4⋅-1
Factor 4 out of -4⋅-1.
m=4(-1(-1+1))4(1)+4(1)
Factor 4 out of 4(1)+4(–1).
m=4(-1(-1+1))4(1+1)
Cancel the common factor.
m=4(-1(-1+1))4(1+1)
Rewrite the expression.
m=-1(-1+1)1+1
m=-1(-1+1)1+1
m=-1(-1+1)1+1
Add -1 and 1.
m=-1⋅01+1
m=-1⋅01+1
Simplify the denominator.
Multiply -1 by -1.
m=-1⋅01+1
Add 1 and 1.
m=-1⋅02
m=-1⋅02
Simplify the expression.
Multiply -1 by 0.
m=02
Divide 0 by 2.
m=0
m=0
m=0
m=0
Find the value of the y-intercept.
Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
y=(0)⋅x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(0)⋅(-4)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
4=(0)⋅(-4)+b
Rewrite the equation as (0)⋅(-4)+b=4.
(0)⋅(-4)+b=4
Simplify (0)⋅(-4)+b.
Multiply 0 by -4.
0+b=4
Add 0 and b.
b=4
b=4
b=4
The values of the slope and y-intercept are m=0 and b=4.
m=0
b=4
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