5x-5y=25

Subtract 5x from both sides of the equation.

-5y=25-5x

Divide each term by -5 and simplify.

Divide each term in -5y=25-5x by -5.

-5y-5=25-5+-5x-5

Cancel the common factor of -5.

Cancel the common factor.

-5y-5=25-5+-5x-5

Divide y by 1.

y=25-5+-5x-5

y=25-5+-5x-5

Simplify each term.

Divide 25 by -5.

y=-5+-5x-5

Cancel the common factor of -5.

Cancel the common factor.

y=-5+-5x-5

Divide x by 1.

y=-5+x

y=-5+x

y=-5+x

y=-5+x

y=-5+x

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Reorder -5 and x.

y=x-5

y=x-5

Find the values of m and b using the form y=mx+b.

m=1

b=-5

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: 1

y-intercept: -5

Slope: 1

y-intercept: -5

Choose 2 to substitute in for x to find the ordered pair.

Replace the variable x with 2 in the expression.

f(2)=(2)-5

Simplify the result.

Subtract 5 from 2.

f(2)=-3

The final answer is -3.

-3

-3

The y value at x=2 is -3.

y=-3

y=-3

Choose 3 to substitute in for x to find the ordered pair.

Replace the variable x with 3 in the expression.

f(3)=(3)-5

Simplify the result.

Subtract 5 from 3.

f(3)=-2

The final answer is -2.

-2

-2

The y value at x=3 is -2.

y=-2

y=-2

Create a table of the x and y values.

xy2-33-2

xy2-33-2

Graph the line using the slope and the y-intercept, or the points.

Slope: 1

y-intercept: -5

xy2-33-2

Graph 5x-5y=25