(10,-11) , (9,8)
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 -11.
Add 8 and 11.
Simplify the denominator.
Multiply -1 by 10.
Subtract 10 from 9.
Divide 19 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 (-19)⋅(10)+b=-11.
Multiply -19 by 10.
Move all terms not containing b to the right side of the equation.
Add 190 to both sides of the equation.
Add -11 and 190.
The values of the slope and y-intercept are m=-19 and b=179.
Find the Slope and Y-Intercept (10,-11) , (9,8)