Question

Are the lines with the equation y = -5x + 1 and y = -5x + 8 parallel? (use a graph, might help)

Answer 1

For y = -5x + 1

x =
`(1-y)/(5)`.

And

y = 1 - 5x.

Put on a graph: look at picture 1.

The for y = -5x + 8

x =
`(8-y)/(5)`

And

y = 8 - 5x.

Put on a graph: look at picture 2.

These two lines are parallel.

Answer 2

Yes, the lines y = -5x + 1 and y = -5x + 8 are parallel. This is because they have the same slope (-5) but different y-intercepts (1 and 8). Parallel lines have the same slope, and different y-intercepts.