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Core Connections: Course 3 View details

2. Section 9.2

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Exercise 152 Page 444

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

Graph:

Solution to the System of Equations: There is no solution because the lines are parallel.

Practice makes perfect

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

Given Equation	Slope-Intercept Form	Slope m	y-intercept b
y=- 2/5+1	y= - 2/5x+ 1	- 2/5	(0, 1)
y=- 2/5-2	y= - 2/5x+ (- 2)	- 2/5	(0, - 2)

Now let's draw each equation! 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.