Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 3 - Linear Systems - 3-2 Solving Systems Algebraically - Practice and Problem-Solving Exercises - Page 148: 67

Answer

The slope of this line is $2$.

Work Step by Step

To find the slope of this graph, we need to locate two points on the line. We have one point located at $(3, 1)$ and another, the y-intercept, at $(0, -5)$. Now that we have the two points, we can plug them into the slope formula where $m$ stands for "slope": $m = \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}$ Let us plug in the points we found into this formula: $m = \dfrac{-5 - 1}{0 - 3}$ $m = \dfrac{-6}{-3}$ $m = 2$ The slope of this line is $2$.
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