3x-2y=-18

Subtract 3x from both sides of the equation.

-2y=-18-3x

Divide each term by -2 and simplify.

Divide each term in -2y=-18-3x by -2.

-2y-2=-18-2+-3x-2

Cancel the common factor of -2.

Cancel the common factor.

-2y-2=-18-2+-3x-2

Divide y by 1.

y=-18-2+-3x-2

y=-18-2+-3x-2

Simplify each term.

Divide -18 by -2.

y=9+-3x-2

Dividing two negative values results in a positive value.

y=9+3×2

y=9+3×2

y=9+3×2

y=9+3×2

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

y=mx+b

Reorder 9 and 3×2.

y=3×2+9

Rewrite in slope-intercept form.

y=32x+9

y=32x+9

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

m=32

b=9

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

Slope: 32

y-intercept: 9

Slope: 32

y-intercept: 9

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

Replace the variable x with 0 in the expression.

f(0)=3(0)2+9

Simplify the result.

Multiply 3 by 0.

f(0)=02+9

Divide 0 by 2.

f(0)=0+9

Add 0 and 9.

f(0)=9

The final answer is 9.

9

9

The y value at x=0 is 9.

y=9

y=9

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

Replace the variable x with 2 in the expression.

f(2)=3(2)2+9

Simplify the result.

Multiply 3 by 2.

f(2)=62+9

Divide 6 by 2.

f(2)=3+9

Add 3 and 9.

f(2)=12

The final answer is 12.

12

12

The y value at x=2 is 12.

y=12

y=12

Create a table of the x and y values.

xy09212

xy09212

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

Slope: 32

y-intercept: 9

xy09212

Graph 3x-2y=-18