# Find the Slope and Y-Intercept (0,7) , (2,2) (0,7) , (2,2)
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=2-(7)2-(0)
Simplify.
Simplify the numerator.
Multiply -1 by 7.
m=2-72-(0)
Subtract 7 from 2.
m=-52-(0)
m=-52-(0)
Simplify the denominator.
Multiply -1 by 0.
m=-52+0
m=-52
m=-52
Move the negative in front of the fraction.
m=-52
m=-52
m=-52
Find the value of the y-intercept.
Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
y=(-52)⋅x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(-52)⋅(0)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
7=(-52)⋅(0)+b
Rewrite the equation as (-52)⋅(0)+b=7.
(-52)⋅(0)+b=7
Simplify (-52)⋅(0)+b.
Multiply (-52)(0).
Multiply 0 by -1.
0(52)+b=7
Multiply 0 by 52.
0+b=7
0+b=7
b=7
b=7
b=7
The values of the slope and y-intercept are m=-52 and b=7.
m=-52
b=7
Find the Slope and Y-Intercept (0,7) , (2,2)     