## Algebra: A Combined Approach (4th Edition)

Published by Pearson

# Chapter 3 - Section 3.5 - Equations of Lines - Exercise Set - Page 252: 9

#### Answer

Refer to the image below for the graph.

#### Work Step by Step

Write the equation in $y=mx+b$ by iusolating $y$ on the left side of the equation: \begin{array}{ccc} &4x-7y&=&-14 \\&-7y&=&-14-4x \\&-7y&=&-4x-14 \\&\frac{-7y}{-7}&=&\frac{-4x-14}{-7} \\&y &=&\frac{4}{7}x+2 \end{array} The given equation has: slope = $\dfrac{4}{7}\\$ y-intercept = $2$ To graph the equation, perform the following steps: (1) Plot the y-intercept point $(0, 2)$. (2) From $(0, 2)$, use the slope to locate another point. Move 4 units up (the rise) and 7 units to the right (the run) to end at the point $(7, 6)$. (3) Connect the two points using a straight line to complete the graph. (refer to the attached image in the answer part for the graph)

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