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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 4: Q. 357 (page 522)

In the following exercises, use slopes and $y$ -intercepts to determine if the lines are parallel.
$y = 5; y = 1$

Short Answer

Expert verified

The lines are parallel.

Step by step solution

01

Given information

The given equations are shown below:

$y = 5 y = 1$

02

Determine the slope.

When two points have the same y-value, it means they lie on a horizontal line. The slope of such line is 0.

Both the equations represents the horizontal lines.

Hence, $m_{1} = m_{2} = 0$ .

03

Write the conclusion

The lines are parallel.

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Most popular questions from this chapter

In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located.

ⓐ $(- 4, 2)$ ⓑ $(- 1, - 2)$ ⓒ $(3, - 5)$ ⓓ $(- 3, 5)$ ⓔ $(\frac{5}{3}, 2)$

Complete the table to find three solutions to this equation:

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