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 - Page 341: 4

Answer

False

Work Step by Step

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