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Pearson Algebra 2 Common Core, 2011

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Pearson Algebra 2 Common Core, 2011 View details

5. Using Linear Models

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Exercise 30 Page 98

Are the equations in slope-intercept form? What information can the slope-intercept form of an equation give us?

Practice makes perfect

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 $b$
$y = - x$	$y = - 1 x + 0$	$- 1$	$(0, 0)$
$y = x$	$y = 1 x + 0$	$1$	$(0, 0)$

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.

Subchapter links

Lesson Check p.96

Practice and Problem-Solving Exercises p.96-98

Standardized Test Prep p.98

Mixed Review p.98