(1,-3) , (-1,7)
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 -3.
Add 7 and 3.
Simplify the denominator.
Multiply -1 by 1.
Subtract 1 from -1.
Divide 10 by -2.
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 (-5)⋅(1)+b=-3.
Multiply -5 by 1.
Move all terms not containing b to the right side of the equation.
Add 5 to both sides of the equation.
Add -3 and 5.
The values of the slope and y-intercept are m=-5 and b=2.
Find the Slope and Y-Intercept (1,-3) , (-1,7)