Subtract from both sides of the equation.

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify each term.

Move the negative in front of the fraction.

Dividing two negative values results in a positive value.

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

Reorder and .

Reorder terms.

Find the values of and using the form .

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

Slope:

y-intercept:

Slope:

y-intercept:

Find the x-intercept.

To find the x-intercept(s), substitute in for and solve for .

Solve the equation.

Rewrite the equation as .

Add to both sides of the equation.

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Divide by .

x-intercept(s) in point form.

x-intercept(s):

x-intercept(s):

Find the y-intercept.

To find the y-intercept(s), substitute in for and solve for .

Solve the equation.

Remove parentheses.

Simplify .

Combine the numerators over the common denominator.

Simplify the expression.

Multiply by .

Add and .

Move the negative in front of the fraction.

y-intercept(s) in point form.

y-intercept(s):

y-intercept(s):

Create a table of the and values.

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

Slope:

y-intercept:

Graph 2x-3y=4