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

Write in form.

Reorder terms.

Remove parentheses.

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 .

Subtract from both sides of the equation.

Multiply both sides of the equation by .

Simplify both sides of the equation.

Simplify .

Cancel the common factor of .

Move the leading negative in into the numerator.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply.

Multiply by .

Multiply by .

Multiply 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 .

Simplify each term.

Divide by .

Multiply by .

Add and .

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 y=-1/3x+1