Answer:
when the question is rearranged so that y is by itself, any of the options that say - 2.5x will be parallel.
Explanation:
5x + 2y = 1
to get y by itself, simple algebra rules must be applied.
1. subtract 5x from both sides.
5x - 5x + 2y = 1 - 5x
2y = 1 - 5x
divide both sides by 2
2y / 2 = 1 / 2 - 5x / 2
- twos cancel out on the left
- 1/2 = 0.5
- - 5x /2 = - 2.5x
therefore the new equation is:
y = 0.5 - 2.5x
this is very close to standard form for a line which is y = mx + b
rearrange the right side of the equals sign:
y = -2.5x + 0.5
in a standard linear equation, the x value determines the gradient of the line. therefore, anything with the same gradient (in this case -2.5x) will be parallel to the given equation.
Hope this makes sense :)