(0,3) , (3,1)

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

Add 3 and 0.

m=-23

m=-23

Move the negative in front of the fraction.

m=-23

m=-23

m=-23

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

Add 0 and b.

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)