4x-4y=-24

Subtract 4x from both sides of the equation.

-4y=-24-4x

Divide each term by -4 and simplify.

Divide each term in -4y=-24-4x by -4.

-4y-4=-24-4+-4x-4

Cancel the common factor of -4.

Cancel the common factor.

-4y-4=-24-4+-4x-4

Divide y by 1.

y=-24-4+-4x-4

y=-24-4+-4x-4

Simplify each term.

Divide -24 by -4.

y=6+-4x-4

Cancel the common factor of -4.

Cancel the common factor.

y=6+-4x-4

Divide x by 1.

y=6+x

y=6+x

y=6+x

y=6+x

y=6+x

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

y=mx+b

Reorder 6 and x.

y=x+6

y=x+6

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

m=1

b=6

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

Slope: 1

y-intercept: 6

Slope: 1

y-intercept: 6

Choose 0 to substitute in for x to find the ordered pair.

Replace the variable x with 0 in the expression.

f(0)=(0)+6

Simplify the result.

Add 0 and 6.

f(0)=6

The final answer is 6.

6

6

The y value at x=0 is 6.

y=6

y=6

Choose 1 to substitute in for x to find the ordered pair.

Replace the variable x with 1 in the expression.

f(1)=(1)+6

Simplify the result.

Add 1 and 6.

f(1)=7

The final answer is 7.

7

7

The y value at x=1 is 7.

y=7

y=7

Create a table of the x and y values.

xy0617

xy0617

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

Slope: 1

y-intercept: 6

xy0617

Graph 4x-4y=-24