# Find the Slope and Y-Intercept (1,-6) , (6,2) (1,-6) , (6,2)
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=2-(-6)6-(1)
Simplify.
Simplify the numerator.
Multiply -1 by -6.
m=2+66-(1)
Add 2 and 6.
m=86-(1)
m=86-(1)
Simplify the denominator.
Multiply -1 by 1.
m=86-1
Subtract 1 from 6.
m=85
m=85
m=85
m=85
Find the value of the y-intercept.
Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
y=(85)x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(85)⋅(1)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
-6=(85)⋅(1)+b
Rewrite the equation as (85)⋅(1)+b=-6.
(85)⋅(1)+b=-6
Multiply 85 by 1.
85+b=-6
Move all terms not containing b to the right side of the equation.
Subtract 85 from both sides of the equation.
b=-6-85
To write -6 as a fraction with a common denominator, multiply by 55.
b=-6⋅55-85
Combine -6 and 55.
b=-6⋅55-85
Combine the numerators over the common denominator.
b=-6⋅5-85
Simplify the numerator.
Multiply -6 by 5.
b=-30-85
Subtract 8 from -30.
b=-385
b=-385
Move the negative in front of the fraction.
b=-385
b=-385
b=-385
The values of the slope and y-intercept are m=85 and b=-385.
m=85
b=-385
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