12x-3y=18

Subtract 12x from both sides of the equation.

-3y=18-12x

Divide each term by -3 and simplify.

Divide each term in -3y=18-12x by -3.

-3y-3=18-3+-12x-3

Cancel the common factor of -3.

Cancel the common factor.

-3y-3=18-3+-12x-3

Divide y by 1.

y=18-3+-12x-3

y=18-3+-12x-3

Simplify each term.

Divide 18 by -3.

y=-6+-12x-3

Cancel the common factor of -12 and -3.

Factor -3 out of -12x.

y=-6+-3(4x)-3

Cancel the common factors.

Factor -3 out of -3.

y=-6+-3(4x)-3(1)

Cancel the common factor.

y=-6+-3(4x)-3⋅1

Rewrite the expression.

y=-6+4×1

Divide 4x by 1.

y=-6+4x

y=-6+4x

y=-6+4x

y=-6+4x

y=-6+4x

y=-6+4x

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

y=mx+b

Reorder -6 and 4x.

y=4x-6

y=4x-6

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

m=4

b=-6

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

Slope: 4

y-intercept: -6

Slope: 4

y-intercept: -6

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

Replace the variable x with 1 in the expression.

f(1)=4(1)-6

Simplify the result.

Multiply 4 by 1.

f(1)=4-6

Subtract 6 from 4.

f(1)=-2

The final answer is -2.

-2

-2

The y value at x=1 is -2.

y=-2

y=-2

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

Replace the variable x with 2 in the expression.

f(2)=4(2)-6

Simplify the result.

Multiply 4 by 2.

f(2)=8-6

Subtract 6 from 8.

f(2)=2

The final answer is 2.

2

2

The y value at x=2 is 2.

y=2

y=2

Create a table of the x and y values.

xy1-222

xy1-222

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

Slope: 4

y-intercept: -6

xy1-222

Graph 12x-3y=18