## Algebra 2 Common Core

Published by Prentice Hall

# Chapter 2 - Functions, Equations, and Graphs - 2-3 Linear Functions and Slope-Intercept Form - Practice and Problem-Solving Exercises: 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.

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.