Question

Is parallel to ? Explain.

Yes, because both lines have a slope of .
Yes, because both lines have a slope of .
No, because the slopes of the lines are not equal.
No, because the slopes of the lines are not opposite reciprocals of each other.

Answer 1

I can’t see the two line equations in your message — they were omitted. Could you paste the two lines exactly as given?

Meanwhile, here are the rules so you can check quickly:

- Two distinct lines are parallel iff their slopes are equal.
- If lines are in slope-intercept form y = mx + b, the slope is m.
- If in standard form Ax + By = C, the slope is −A/B.
- (If they have equal slopes and equal intercepts they are the same line, not just “parallel.”)

- Two lines are perpendicular iff their slopes are negative reciprocals (m1 · m2 = −1).

Example quick checks:
- 2x + 3y = 6 → slope = −2/3
- 4x + 6y = 12 → slope = −2/3 → parallel (in fact coincident)
- 3x − 2y = 5 → slope = 3/2 → perpendicular to slope −2/3

Paste the two lines and I’ll tell you which of your multiple-choice answers is correct.