The Graph of a Linear Equation in Two Variables Is a Line – Practice Problems

Having fun while studying, practice your skills by solving these exercises!

This exercise will soon be on your smartphone!

For now, Practice Problems are only available on tablets and desktop computers. Please log in on one of these devices.

Do you need help? Watch the Video Lesson for this Practice Problem.

One quick way of graphing a linear equation in two variables is by determining its x- and y-intercepts, plotting them in a coordinate plane, and then connecting them to make a line. The x-intercept is the value of x when y is zero while the y-intercept is the value of y when x is zero. Every graph of a linear equation in two variables has a steepness, or slope, that is captured by calculating the change in y over the change in x of two given points on the line. Learn how to graph a linear equation in two variables by helping Evelyn prepare for a death-defying jump in a motorcycle show. Common Core Reference: CCSS.MATH.CONTENT.8.FA.2

Go to Video Lesson
Exercises in this Practice Problem
Describe how to graph the line corresponding to the equation $y=\frac13x +12$.
Decide which statements about linear equations are true.
Identify the $x$- and $y$-intercepts for each line.
Find the $x$- and $y$-intercepts for the given equations.
Plot the ordered pairs on a coordinate plane.
Graph the line for the equation $f(x)=\frac{20}{3}x+20$.