Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 1 - Linear Functions - 1.4 Intercepts and Graphing - 1.4 Exercises - Page 63: 39

Answer

Refer to th graph below.

Work Step by Step

Recall: The line $y=m x+b$ has a slope of $m$ and a $y$-intercept of $(0, b)$. Thus, the given line has $(0, -6)$ as $y$-intercept. Find the $x$-intercept by setting $y=0$ then solving for $x$ to obtain: \begin{align*} \require{cancel} y&=\frac{3}{7}x-6\\ 0&=\frac{3}{7}x-6\\ 6&=\frac{3}{7}x\\ \frac{7}{3} \cdot 6 &= \frac{3}{7}x \cdot \frac{7}{3}\\ \frac{7}{\cancel{3}} \cdot \cancel{6}^2 &= \cancel{\frac{3}{7}}x \cdot \cancel{\frac{7}{3}}\\ 14&=x \end{align*} Thus, the $x$-intercept is at $(14, 0)$. Plot the $x$ and $y$-intercepts then connect them using a straight line. Refer to the graph above.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.