Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 3 - Section 3.5 - Equations of Lines - Exercise Set - Page 252: 10


Refer to the image below for the graph.

Work Step by Step

Write the equation in $y=mx+b$ by isolating $y$ on the left side of the equation: \begin{array}{ccc} &3x-4y&=&4 \\&-4y&=&4-3x \\&-4y&=&-3x+4 \\&\frac{-4y}{-4}&=&\frac{-3x+4}{-4} \\&y &=&\frac{3}{4}x-1 \end{array} The given equation has: slope = $\dfrac{3}{4}\\$ y-intercept = $-1$ To graph the equation, perform the following steps: (1) Plot the y-intercept point $(0, -1)$. (2) From $(0, -1)$, use the slope to locate another point. Move 3 units up (the rise) and 4 units to the right (the run) to end at the point $(4, 2)$. (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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