Question

both of these tables represent linear graphs:does the line through the first set of points intersect with the line through the second set of points?(1 point)responsesyes…these lines are not parallel nor perpendicularyes…these lines are not parallel nor perpendicularno…these lines are parallelno…these lines are parallelyes…these lines are parallelyes…these lines are parallelyes…these lines are perpendicularyes…these lines are perpendicularno…these lines are perpendicularno…these lines are perpendicularyou cannot tell without a graphyou cannot tell without a graphskip to navigation pane

Answer 1

I don't see the two tables/points in your message — I need those to give the exact answer. Paste the two tables (or the point sets) and I'll compute it.

In the meantime, here are the quick steps to decide yourself:

1. From each table, pick two points and compute the slope m = (change in y)/(change in x).
2. Compare slopes:
- If slopes are equal:
- If the y-intercepts are different → lines are parallel → they do not intersect (answer: "no…these lines are parallel").
- If y-intercepts are the same → they are the same line → infinitely many intersections (choose the option for same line if given).
- If slopes are negative reciprocals (m1 * m2 = −1) → lines are perpendicular → they intersect at one point (answer: "yes…these lines are perpendicular" or simply "yes").
- If slopes are different and not negative reciprocals → they intersect at exactly one point (answer: "yes…these lines are not parallel nor perpendicular").

If you paste the tables, I’ll compute slopes and give the correct multiple-choice response.