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

No.

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)=(-2-3)/(6+4)=(-1)/(2);`

`slope(b)=(4-6)/(-2+6)=(-1)/(2);`

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