# Find the Slope and Y-Intercept (6,-2) , (8,-9)

(6,-2) , (8,-9)
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=-9-(-2)8-(6)
Simplify.
Simplify the numerator.
Multiply -1 by -2.
m=-9+28-(6)
m=-78-(6)
m=-78-(6)
Simplify the denominator.
Multiply -1 by 6.
m=-78-6
Subtract 6 from 8.
m=-72
m=-72
Move the negative in front of the fraction.
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)⋅(6)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
-2=(-72)⋅(6)+b
Rewrite the equation as (-72)⋅(6)+b=-2.
(-72)⋅(6)+b=-2
Simplify each term.
Cancel the common factor of 2.
Move the leading negative in -72 into the numerator.
-72⋅6+b=-2
Factor 2 out of 6.
-72⋅(2(3))+b=-2
Cancel the common factor.
-72⋅(2⋅3)+b=-2
Rewrite the expression.
-7⋅3+b=-2
-7⋅3+b=-2
Multiply -7 by 3.
-21+b=-2
-21+b=-2
Move all terms not containing b to the right side of the equation.
Add 21 to both sides of the equation.
b=-2+21