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: 49

Answer

The $y$-intercept is $3$. The slope is $-\frac{1}{4}$.

Work Step by Step

The $y$-intercept is the value of $y$ at the point where the graph crosses the $y$-axis. From the graph, we can see that the $y$-intercept is $3$. Let's find two points on the graph in order to find the slope of the line. We have points $(0, 3)$ and $(4, 2)$. The slope is given by the formula: $m = \dfrac{y_2 - y_1}{x_2 - x_1}$, where $m$ is the slope and $(x_1, y_1)$ and $(x_2, y_2)$ are points on the line. Let's plug the points into the formula: $m = \dfrac{2 - 3}{4 - 0}$ Do the subtraction: $m = -\dfrac{1}{4}$
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