Question

Does the line passing through the points (-4, 3) and (6, -2) intersect the line passing through the points (-6, 6) and (-2, 4)?

Answer 1

Answer:

No.

Step-by-step explanation:

1) if the given line passing through the points (-4;3)&(6;-2) is line a, and the another given line is b, then

2) it needed to compare the slopes of a and b:

$slope(a)=\frac{-2-3}{6+4}=\frac{-1}{2};$

$slope(b)=\frac{4-6}{-2+6}=\frac{-1}{2};$

3) if slope(a)=slope(b), then the given lines a and b are parallel (no intersections).