# Find the Slope and Y-Intercept (2,7) , (6,23) (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).
m=y2-y1x2-x1
Substitute in the values of x and y into the equation to find the slope.
m=23-(7)6-(2)
Simplify.
Simplify the numerator.
Multiply -1 by 7.
m=23-76-(2)
Subtract 7 from 23.
m=166-(2)
m=166-(2)
Simplify the denominator.
Multiply -1 by 2.
m=166-2
Subtract 2 from 6.
m=164
m=164
Divide 16 by 4.
m=4
m=4
m=4
Find the value of the y-intercept.
Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
y=(4)⋅x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(4)⋅(2)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
7=(4)⋅(2)+b
Rewrite the equation as (4)⋅(2)+b=7.
(4)⋅(2)+b=7
Multiply 4 by 2.
8+b=7
Move all terms not containing b to the right side of the equation.
Subtract 8 from both sides of the equation.
b=7-8
Subtract 8 from 7.
b=-1
b=-1
b=-1
The values of the slope and y-intercept are m=4 and b=-1.
m=4
b=-1
Find the Slope and Y-Intercept (2,7) , (6,23)     