# Find the Slope and Y-Intercept (0,3) , (3,1) (0,3) , (3,1)
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=1-(3)3-(0)
Simplify.
Simplify the numerator.
Multiply -1 by 3.
m=1-33-(0)
Subtract 3 from 1.
m=-23-(0)
m=-23-(0)
Simplify the denominator.
Multiply -1 by 0.
m=-23+0
m=-23
m=-23
Move the negative in front of the fraction.
m=-23
m=-23
m=-23
Find the value of the y-intercept.
Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
y=(-23)⋅x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(-23)⋅(0)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
3=(-23)⋅(0)+b
Rewrite the equation as (-23)⋅(0)+b=3.
(-23)⋅(0)+b=3
Simplify (-23)⋅(0)+b.
Multiply (-23)(0).
Multiply 0 by -1.
0(23)+b=3
Multiply 0 by 23.
0+b=3
0+b=3
b=3
b=3
b=3
The values of the slope and y-intercept are m=-23 and b=3.
m=-23
b=3
Find the Slope and Y-Intercept (0,3) , (3,1)     