Question

Y = 5x+ 2 and y = 5x-1

Determine weather the equations are parallel, perpendicular, or neither.

Answer 1

Parallel they have the same slope but different y intercepts

I hope this is good enough:

Answer 2

Parallel

Explanation:

Both equations have the same slope and different y-intercepts, therefore, they are parallel to each other.

Both equations (which can be represented as lines on a graph) are parallel because they have the same slope, which in these equations are 5x. Because these both have the same slope, they have the same rise over run, or they both go up 5 after moving over 1. And the x intercept is the last valie in each equation (the none variable). The first equation it is 2 and the other is -1, which makes them not completely overlap. With this in mind, they will never overlap which can easily be seen on a graph, making them parallel.