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

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5 votes

Answer:

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).

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