(-9,5) , (-10,-6)
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).
Substitute in the values of x and y into the equation to find the slope.
Simplify the numerator.
Multiply -1 by 5.
Subtract 5 from -6.
Simplify the denominator.
Multiply -1 by -9.
Add -10 and 9.
Divide -11 by -1.
Find the value of the y-intercept.
Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
Rewrite the equation as (11)⋅(-9)+b=5.
Multiply 11 by -9.
Move all terms not containing b to the right side of the equation.
Add 99 to both sides of the equation.
Add 5 and 99.
The values of the slope and y-intercept are m=11 and b=104.
Find the Slope and Y-Intercept (-9,5) , (-10,-6)