# Graph three x plus four y equals twelve

Subtract from both sides of the equation.

First, divide each term by and Clarify.

Divide each term in by .

The common factor should be canceled of .

Cancel the common factor.

Divide by .

Clarify each term.

Divide by .

Put the negative in front of the fraction.

The slope-intercept form is , where is the slope and is the y-intercept.

Shift and .

Rewrite in slope-intercept form.

Find the values of and using the form .

The value of is the gradient of the line, and the y-intercept is the value of .

Slope:

y-intercept:

Slope:

y-intercept:

Choose to substitute in for to find the ordered pair.

Replace the variable with in the expression.

Clarify the result.

Simplify each term.

The common factor should be canceled and .

Factor out of .

The common factors should be canceled.

Factor out of .

Cancel the common factor.

Reformulate the expression.

Divide by .

First, multiply by .

Multiply by .

Sum and .

The result is .

The value at is .

Choose to substitute in for to find the ordered pair.

Replace the variable with in the expression.

Simplify the result.

Multiply by .

To write as a fraction with a common denominator, multiply by .

Add and .

Add numerators over the common denominator.

Clarify the numerator.

Multiply by .

Add and .

The final answer is .

The value at is .

Create a table of the and values.

Plot the line with the slope and the y-intercept, or the points.

Slope:

y-intercept:

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