#1**+1 **

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

:)

ilorty Aug 31, 2020