(-1,4) , (5,4)

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=4-(4)5-(-1)

Simplify.

Simplify the numerator.

Multiply -1 by 4.

m=4-45-(-1)

Subtract 4 from 4.

m=05-(-1)

m=05-(-1)

Simplify the denominator.

Multiply -1 by -1.

m=05+1

Add 5 and 1.

m=06

m=06

Divide 0 by 6.

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)⋅(-1)+b

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

4=(0)⋅(-1)+b

Rewrite the equation as (0)⋅(-1)+b=4.

(0)⋅(-1)+b=4

Simplify (0)⋅(-1)+b.

Multiply 0 by -1.

0+b=4

Add 0 and b.

b=4

b=4

b=4

The values of the slope and y-intercept are m=0 and b=4.

m=0

b=4

Find the Slope and Y-Intercept (-1,4) , (5,4)