Chapter 11: Q. 5 (page 772)

True or False:
The lines $2 x + y = 4$ and $4 x + 2 y = 0$ are parallel.

Short Answer

Expert verified

The given statement is true.

Step by step solution

Step 1. Given information.

Consider the given lines,

$2 x + y = 4, 4 x + 2 y = 0 2 x + y = 0$

Rewrite the equations in terms of y,

$y = - 2 x + 4 . . . . . . (i) y = - 2 x . . . . . . (i i)$

Step 2. Reason for being true.

Consider the slope intercept form, $y = m x + c$ .

Compare equations (i) with the slope intercept form,

role="math" localid="1647021167070" $m_{1} = - 2$

Compare equations (ii) with the slope intercept form,

$m_{2} = - 2$

As slopes of both the lines are equal, the lines are parallel.

Hence, the given statement is true.

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True or False:
The lines $2 x + y = 4$ and $4 x + 2 y = 0$ are parallel.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Reason for being true.

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True or False:The lines 2x+y=4and 4x+2y=0are parallel.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Reason for being true.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

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Probability and Statistics

Study anywhere. Anytime. Across all devices.

True or False:
The lines $2 x + y = 4$ and $4 x + 2 y = 0$ are parallel.