3y-24=8x

Add 24 to both sides of the equation.

3y=8x+24

Divide each term by 3 and simplify.

Divide each term in 3y=8x+24 by 3.

3y3=8×3+243

Cancel the common factor of 3.

Cancel the common factor.

3y3=8×3+243

Divide y by 1.

y=8×3+243

y=8×3+243

Divide 24 by 3.

y=8×3+8

y=8×3+8

y=8×3+8

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

y=mx+b

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

m=83

b=8

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

Slope: 83

y-intercept: 8

Slope: 83

y-intercept: 8

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

Replace the variable x with 0 in the expression.

f(0)=8(0)3+8

Simplify the result.

Multiply 8 by 0.

f(0)=03+8

Divide 0 by 3.

f(0)=0+8

Add 0 and 8.

f(0)=8

The final answer is 8.

8

8

The y value at x=0 is 8.

y=8

y=8

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

Replace the variable x with 3 in the expression.

f(3)=8(3)3+8

Simplify the result.

Multiply 8 by 3.

f(3)=243+8

Divide 24 by 3.

f(3)=8+8

Add 8 and 8.

f(3)=16

The final answer is 16.

16

16

The y value at x=3 is 16.

y=16

y=16

Create a table of the x and y values.

xy08316

xy08316

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

Slope: 83

y-intercept: 8

xy08316

Graph 3y-24=8x