(2,7) , (6,23)
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 23.
Simplify the denominator.
Multiply -1 by 2.
Subtract 2 from 6.
Divide 16 by 4.
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 (4)⋅(2)+b=7.
Multiply 4 by 2.
Move all terms not containing b to the right side of the equation.
Subtract 8 from both sides of the equation.
Subtract 8 from 7.
The values of the slope and y-intercept are m=4 and b=-1.
Find the Slope and Y-Intercept (2,7) , (6,23)