# Find the Slope and Y-Intercept (0,48) , (3,59)

(0,48) , (3,59)
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=59-(48)3-(0)
Simplify.
Simplify the numerator.
Multiply -1 by 48.
m=59-483-(0)
Subtract 48 from 59.
m=113-(0)
m=113-(0)
Simplify the denominator.
Multiply -1 by 0.
m=113+0
m=113
m=113
m=113
m=113
Find the value of the y-intercept.
Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
y=(113)x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(113)⋅(0)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
48=(113)⋅(0)+b
Rewrite the equation as (113)⋅(0)+b=48.
(113)⋅(0)+b=48
Simplify (113)⋅(0)+b.
Multiply 113 by 0.
0+b=48