# Find the Slope and Y-Intercept (1,-5) , (9,-5) (1,-5) , (9,-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)9-(1)
Simplify.
Simplify the numerator.
Multiply -1 by -5.
m=-5+59-(1)
m=09-(1)
m=09-(1)
Simplify the denominator.
Multiply -1 by 1.
m=09-1
Subtract 1 from 9.
m=08
m=08
Divide 0 by 8.
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)⋅(1)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
-5=(0)⋅(1)+b
Rewrite the equation as (0)⋅(1)+b=-5.
(0)⋅(1)+b=-5
Simplify (0)⋅(1)+b.
Multiply 0 by 1.
0+b=-5
b=-5
b=-5
b=-5
The values of the slope and y-intercept are m=0 and b=-5.
m=0
b=-5
Find the Slope and Y-Intercept (1,-5) , (9,-5)     