# Chapter 2 - Graphs and Functions - 2.4 Linear Functions - 2.4 Exercises - Page 229: 51

(a) slope $=3$ (b) Refer to the graph below.

#### Work Step by Step

RECALL: In the linear equation $y=mx + b$, $m$=slope and $(0, b)$ is the y-intercept. (a) The line $y=3x-5$ has a slope of $3$ and a y-intercept of $(0, -5)$. (b) To graph the line, perform the following steps: (1) Plot the y-intercept $(0, -5)$. (2) Use the slope to plot another point. The slope is $3$ so for there is a 3-unit increase in the value of $y$ for every unit increase in $x$. From $(0, -5)$, move 3 units up (the rise) and one unit to the right (the run) to reach $(1, -2)$. Plot $(1, -2)$. (3) Complete the graph by connecting the two points using a line. (Refer to the graph in the answer part above.)

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