# Find the Slope and Y-Intercept (2,2) , (0,-5) (2,2) , (0,-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-(2)0-(2)
Simplify.
Simplify the numerator.
Multiply -1 by 2.
m=-5-20-(2)
Subtract 2 from -5.
m=-70-(2)
m=-70-(2)
Simplify the denominator.
Multiply -1 by 2.
m=-70-2
Subtract 2 from 0.
m=-7-2
m=-7-2
Dividing two negative values results in a positive value.
m=72
m=72
m=72
Find the value of the y-intercept.
Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
y=(72)x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(72)⋅(2)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
2=(72)⋅(2)+b
Rewrite the equation as (72)⋅(2)+b=2.
(72)⋅(2)+b=2
Cancel the common factor of 2.
Cancel the common factor.
72⋅2+b=2
Rewrite the expression.
7+b=2
7+b=2
Move all terms not containing b to the right side of the equation.
Subtract 7 from both sides of the equation.
b=2-7
Subtract 7 from 2.
b=-5
b=-5
b=-5
The values of the slope and y-intercept are m=72 and b=-5.
m=72
b=-5
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