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

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Do you need help? Watch the Video Lesson for this Practice Problem. The Graph of a Linear Equation in Two Variables Is a Line

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

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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 $f(x)=\frac{20}{3}x+20$.