(5,-1) , (0,-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-(-1)0-(5)

Simplify.

Simplify the numerator.

Multiply -1 by -1.

m=-4+10-(5)

Add -4 and 1.

m=-30-(5)

m=-30-(5)

Simplify the denominator.

Multiply -1 by 5.

m=-30-5

Subtract 5 from 0.

m=-3-5

m=-3-5

Dividing two negative values results in a positive value.

m=35

m=35

m=35

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

y=(35)x+b

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

y=(35)⋅(5)+b

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

-1=(35)⋅(5)+b

Rewrite the equation as (35)⋅(5)+b=-1.

(35)⋅(5)+b=-1

Cancel the common factor of 5.

Cancel the common factor.

35⋅5+b=-1

Rewrite the expression.

3+b=-1

3+b=-1

Move all terms not containing b to the right side of the equation.

Subtract 3 from both sides of the equation.

b=-1-3

Subtract 3 from -1.

b=-4

b=-4

b=-4

The values of the slope and y-intercept are m=35 and b=-4.

m=35

b=-4

Find the Slope and Y-Intercept (5,-1) , (0,-4)