(-15,-8) , (-18,-12)
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 -8.
Add -12 and 8.
Simplify the denominator.
Multiply -1 by -15.
Add -18 and 15.
Dividing two negative values results in a positive value.
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 (43)⋅(-15)+b=-8.
Simplify each term.
Cancel the common factor of 3.
Factor 3 out of -15.
Cancel the common factor.
Rewrite the expression.
Multiply 4 by -5.
Move all terms not containing b to the right side of the equation.
Add 20 to both sides of the equation.
Add -8 and 20.
The values of the slope and y-intercept are m=43 and b=12.
Find the Slope and Y-Intercept (-15,-8) , (-18,-12)