Algebra 2 Common Core

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

Chapter 2 - Functions, Equations, and Graphs - 2-3 Linear Functions and Slope-Intercept Form - Practice and Problem-Solving Exercises - Page 79: 48

Answer

$slope = 3/2$ $y-intercept=2$

Work Step by Step

The slope of a line is always equal to the change in y divided by the change in x. Sometimes change can be represented by the Greek letter delta (which looks like a triangle), but it just means the difference between two points. The slope can be found by picking any two points on the line. I chose (0,2) and (-3,0), but any others will work just as well. $x_{1}=0$ $y_{1}=2$ $x_{2}=-3$ $y_{2}=0$ Simply divide the change in y (0-(-3)) by the change in x (2-0): $m=\frac{y_{1}-y_{2}}{x_{1}-x_{2}}=\frac{0-(-3)}{2-0}=\frac{3}{2}$. Your y-intercept is the point where the line crosses the y-axis. This can be found by plugging x=0 into the line equation. However, since we are not given an equation, you can look at the graph and see that when x=0, y=2. So, the y-intercept =2.
Small 1497939349
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.