Rational and Irrational Numbers

Change the Form of a Linear Equation
Honors Math Grade 8

The Standard Form of a Linear Equation allows you to quickly find the x- and y-intercepts of the line.
RECALL To find the x-intercept, y = 0. To find the y-intercept, x = 0.
Find the x- and y-intercepts of each line.
X-INTERCEPT
Y-INTERCEPT

Find the x- and y-intercepts of each line.
X-INTERCEPT
Y-INTERCEPT
X-INTERCEPT
Y-INTERCEPT

Use x- and y-intercepts to graph the equation
An equation can also be graphed using the x- and y-intercepts of the equation.
To find the x-intercept let y = 0.
To find the y-intercept let x = 0.
Plot the ordered pairs and connect them with a line.

You can transform linear equations from one form to another. You can write a linear equation in slope-intercept, point-slope, and standard forms. The chart below summarizes the forms of a linear equation.

Rewrite each equation in the given form.
Write in Standard.
Write in Standard.

Rewrite each equation in the given form.
Write in slope-int.
Write in slope-int.

All the points on the graph of a linear equation are solutions of the equation. Each point on the line is an ordered pair that makes the equation true.
To determine if a point is on the graph of a line, substitute its coordinates into the equation of the line. If the result is a true statement, the point is on the line.

Tell if the given point is on the line.

Tell if the given point is on the line.

You can determine the coordinates of a point on a line if you know one coordinateof the point and the equation of the line.
Find the value of y, so that the given point lies on the given line.

You can determine the coordinates of a point on a line if you know one coordinateof the point and the equation of the line.
Find the value of x, so that the given point lies on the given line.

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