Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 8 - Coordinate Geometry and Linear Systems - 8.2 - Graphing Linear Equations - Concept Quiz 8.2: 5

Answer

True

Work Step by Step

To find the $x$-intercept of an equation of a graph, we plug in $0$ for $y$ and solve for $x$. We plug in $0$ for $y$ and apply the principles of equivalency to solve the equation for $x$: $$3x+4y=-12$$ $$3x+4(0)=-12$$ $$3x=-12$$ $$\frac{3x}{3}=-\frac{12}{3}$$ $$x=-4.$$ Since $x=-4$, the statement is true.
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