Question

PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE

Answer 1

Perpendicular

Explanation:

If Line A passes through the origin with a slop of 3, then Line A would be

y = 3x

For Line B, using the slope/points method, the line would be

y = -1/3x

When graphing these two lines, they intersect as opposite slopes, so therefore this pair of equations would be Perpendicular

Answer 2

Perpendicular

Explanation:

Let's start by finding the slopes of both lines.

Line A's slope is 3 (this is given).

We can determine line B's slope with the two points given. The slope formula is
`m=(y1-y2)/(x1-x2)`. Substitute in the values:

`m=(1-(-1))/(-3-3)`

and simplify:

`m=(2)/(-6)`

So the slope of line A is -1/3.

-1/3 and 3 multiply to -1, so this indicates that the two lines are perpendicular.