# Find the Slope and Y-Intercept (-5,0) , (2,7)

(-5,0) , (2,7)
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=7-(0)2-(-5)
Simplify.
Simplify the numerator.
Multiply -1 by 0.
m=7+02-(-5)
m=72-(-5)
m=72-(-5)
Simplify the denominator.
Multiply -1 by -5.
m=72+5
m=77
m=77
Divide 7 by 7.
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)⋅(-5)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
0=(1)⋅(-5)+b
Rewrite the equation as (1)⋅(-5)+b=0.
(1)⋅(-5)+b=0
Multiply -5 by 1.
-5+b=0
Add 5 to both sides of the equation.
b=5
b=5
The values of the slope and y-intercept are m=1 and b=5.
m=1
b=5
Find the Slope and Y-Intercept (-5,0) , (2,7)