(4,5) , (-7,5)

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=5-(5)-7-(4)

Simplify.

Simplify the numerator.

Multiply -1 by 5.

m=5-5-7-(4)

Subtract 5 from 5.

m=0-7-(4)

m=0-7-(4)

Simplify the denominator.

Multiply -1 by 4.

m=0-7-4

Subtract 4 from -7.

m=0-11

m=0-11

Divide 0 by -11.

m=0

m=0

m=0

Substitute the value of m into the slope-intercept form of the equation, y=mx+b.

y=(0)⋅x+b

Substitute the value of x into the slope-intercept form of the equation, y=mx+b.

y=(0)⋅(4)+b

Substitute the value of y into the slope-intercept form of the equation, y=mx+b.

5=(0)⋅(4)+b

Rewrite the equation as (0)⋅(4)+b=5.

(0)⋅(4)+b=5

Simplify (0)⋅(4)+b.

Multiply 0 by 4.

0+b=5

Add 0 and b.

b=5

b=5

b=5

The values of the slope and y-intercept are m=0 and b=5.

m=0

b=5

Find the Slope and Y-Intercept (4,5) , (-7,5)