# Find the Slope and Y-Intercept (-6,0) , (0,5)

(-6,0) , (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-(0)0-(-6)
Simplify.
Simplify the numerator.
Multiply -1 by 0.
m=5+00-(-6)
m=50-(-6)
m=50-(-6)
Simplify the denominator.
Multiply -1 by -6.
m=50+6
m=56
m=56
m=56
m=56
Find the value of the y-intercept.
Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
y=(56)x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(56)⋅(-6)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
0=(56)⋅(-6)+b
Rewrite the equation as (56)⋅(-6)+b=0.
(56)⋅(-6)+b=0
Simplify each term.
Cancel the common factor of 6.
Factor 6 out of -6.
56⋅(6(-1))+b=0
Cancel the common factor.
56⋅(6⋅-1)+b=0
Rewrite the expression.
5⋅-1+b=0
5⋅-1+b=0
Multiply 5 by -1.
-5+b=0
-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=56 and b=5.
m=56
b=5
Find the Slope and Y-Intercept (-6,0) , (0,5)