# Find the Slope and Y-Intercept (4,5) , (-7,5) (4,5) , (-7,5)
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=5-(5)-7-(4)
Simplify.
Simplify the numerator.
Multiply -1 by 5.
m=5-5-7-(4)
Subtract 5 from 5.
m=0-7-(4)
m=0-7-(4)
Simplify the denominator.
Multiply -1 by 4.
m=0-7-4
Subtract 4 from -7.
m=0-11
m=0-11
Divide 0 by -11.
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.
5=(0)⋅(4)+b
Rewrite the equation as (0)⋅(4)+b=5.
(0)⋅(4)+b=5
Simplify (0)⋅(4)+b.
Multiply 0 by 4.
0+b=5
Add 0 and b.
b=5
b=5
b=5
The values of the slope and y-intercept are m=0 and b=5.
m=0
b=5
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