(0,48) , (3,59)

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

Add 3 and 0.

m=113

m=113

m=113

m=113

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

Add 0 and b.

b=48

b=48

b=48

The values of the slope and y-intercept are m=113 and b=48.

m=113

b=48

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