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!
- Video
- Practice Problems
Do you need help? Watch the Video Lesson for this Practice Problem.
Go to Video Lesson
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
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 $f(x)=\frac{20}{3}x+20$. |