Exercise 31 Page 98

To graph the given equations, we should start by using the slope-intercept form of each equation to identify the key features of their graphs.

Write in Slope-Intercept Form

Let's rewrite each of the equations in the system in slope-intercept form, highlighting the $m$ and $b$ values.

Given Equation	Slope-Intercept Form	Slope $m$	$y -$ intercept $b$
$y = x + 1$	$y = 1 x + 1$	$1$	$(0, 1)$
$y = 2 x - 1$	$y = 2 x + (- 1)$	$2$	$(0, - 1)$

Graphing the System

To graph these equations, we will start by plotting their $y -$ intercepts. Then, we will use the slope to determine another point that satisfies each equation, and connect the points with a line.