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 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

Subtract 2 from 3.

f(1)=1

The final answer is 1.

1

1

The y value at x=1 is 1.

y=1

y=1

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

Subtract 2 from 0.

f(0)=-2

The final answer is -2.

-2

-2

The y value at x=0 is -2.

y=-2

y=-2

Create a table of the x and y values.

xy0-211

xy0-211

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

Slope: 3

y-intercept: -2

xy0-211

Graph 9x-3y=6