9x-3y=-6

Subtract 9x from both sides of the equation.

-3y=-6-9x

Divide each term by -3 and simplify.

Divide each term in -3y=-6-9x by -3.

-3y-3=-6-3+-9x-3

Cancel the common factor of -3.

Cancel the common factor.

-3y-3=-6-3+-9x-3

Divide y by 1.

y=-6-3+-9x-3

y=-6-3+-9x-3

Simplify each term.

Divide -6 by -3.

y=2+-9x-3

Cancel the common factor of -9 and -3.

Factor -3 out of -9x.

y=2+-3(3x)-3

Cancel the common factors.

Factor -3 out of -3.

y=2+-3(3x)-3(1)

Cancel the common factor.

y=2+-3(3x)-3⋅1

Rewrite the expression.

y=2+3×1

Divide 3x by 1.

y=2+3x

y=2+3x

y=2+3x

y=2+3x

y=2+3x

y=2+3x

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

y=mx+b

Reorder 2 and 3x.

y=3x+2

y=3x+2

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

m=3

b=2

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

Slope: 3

y-intercept: 2

Slope: 3

y-intercept: 2

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

Simplify the result.

Multiply 3 by 0.

f(0)=0+2

Add 0 and 2.

f(0)=2

The final answer is 2.

2

2

The y value at x=0 is 2.

y=2

y=2

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

Replace the variable x with 1 in the expression.

f(1)=3(1)+2

Simplify the result.

Multiply 3 by 1.

f(1)=3+2

Add 3 and 2.

f(1)=5

The final answer is 5.

5

5

The y value at x=1 is 5.

y=5

y=5

Create a table of the x and y values.

xy0215

xy0215

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

Slope: 3

y-intercept: 2

xy0215

Graph 9x-3y=-6