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Identify which lines are parallel.

 

 Aug 31, 2020
 #1
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For lines like such to be parallel, the slope (the m) has to be parallel. We first need to arrange all of them into slope intercept form:

 

y = [slope]x + [y - intercept]

 

Line 1: y = -1/4 x + 4

 

already in the right form! Great 👍 

 

Line 2: x + 4y = 3

 

Move the "x" to the right side:

 

4y = 3 - x

4y = -x + 3

 

Divide by 4

 

y = -1/4 x + 3/4
 

Line 3: y = -1/2 x - 6

 

already in the right form! Great 👍

 

Line 4: y + 1 = -2(x - 5)

 

Distribute:

 

y + 1 = -2x + 10


Subtract 1:


y = -2x + 9

 

We see that the only two lines that have the same slope is line 1 and line 2.

 

Double check answer with graph:

https://www.desmos.com/calculator/brr6fpzhum


 

:)

 Aug 31, 2020

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