2x-3y+12=0

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

Subtract 2x from both sides of the equation.

-3y+12=-2x

Subtract 12 from both sides of the equation.

-3y=-2x-12

-3y=-2x-12

Divide each term by -3 and simplify.

Divide each term in -3y=-2x-12 by -3.

-3y-3=-2x-3+-12-3

Cancel the common factor of -3.

Cancel the common factor.

-3y-3=-2x-3+-12-3

Divide y by 1.

y=-2x-3+-12-3

y=-2x-3+-12-3

Simplify each term.

Dividing two negative values results in a positive value.

y=(2)x3+-12-3

Divide -12 by -3.

y=2×3+4

y=2×3+4

y=2×3+4

y=2×3+4

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=23

b=4

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

Slope: 23

y-intercept: 4

Slope: 23

y-intercept: 4

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

Replace the variable x with 0 in the expression.

f(0)=2(0)3+4

Simplify the result.

Multiply 2 by 0.

f(0)=03+4

Divide 0 by 3.

f(0)=0+4

Add 0 and 4.

f(0)=4

The final answer is 4.

4

4

The y value at x=0 is 4.

y=4

y=4

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

Replace the variable x with 3 in the expression.

f(3)=2(3)3+4

Simplify the result.

Multiply 2 by 3.

f(3)=63+4

Divide 6 by 3.

f(3)=2+4

Add 2 and 4.

f(3)=6

The final answer is 6.

6

6

The y value at x=3 is 6.

y=6

y=6

Create a table of the x and y values.

xy0436

xy0436

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

Slope: 23

y-intercept: 4

xy0436

Graph 2x-3y+12=0