Question

Which equation represents a line parallel to the line shown on the graph?

3x-7
-3x+3
1/3x+7/9
-1/3x + 12

Also please explain why it's the correct answer.
For me, I thought it was 3x-7 because the slope shows that it goes up 3 times and right 1 time. It could be other way around, but I'm not sure. Please answer this quickly!

Answer 1

-3x+3

Explanation:

The equation to the line shown is formed as follows.

It passes through the points (-6,0) and (-8,6)

The gradient of the line=Δy/Δx

=(y₂-y₁)/(x₂-x₁)

=(6-0)/(-8--6)

=6/-2

=-3

The line parallel to the line shown has the same gradient i.e -3

Therefore the line in question is

-3x+3.