(-12,7) , (-10,-4)
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 7.
Subtract 7 from -4.
Simplify the denominator.
Multiply -1 by -12.
Add -10 and 12.
Move the negative in front of the fraction.
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 (-112)⋅(-12)+b=7.
Simplify each term.
Cancel the common factor of 2.
Move the leading negative in -112 into the numerator.
Factor 2 out of -12.
Cancel the common factor.
Rewrite the expression.
Multiply -11 by -6.
Move all terms not containing b to the right side of the equation.
Subtract 66 from both sides of the equation.
Subtract 66 from 7.
The values of the slope and y-intercept are m=-112 and b=-59.
Find the Slope and Y-Intercept (-12,7) , (-10,-4)