Question

prove that the following three points are collinear (-4,-2),(6,3),(0,0)​

Answer 1

Slope from (1,4) to (3,-2) is (4-(-2)) / (1–3) = 6/(-2) = -3.

Slope from (3,-2) to (-3,16) is (-2–16) / (3-(-3)) = -18/6 = -3.

Since these are equal, the points are colinear (else they would be vertices of a triangle).

The equation of the line through them is: y-4 = (-3)(x-1) which simplifies to y-7=-3x, or if you prefer y+3x = 7.

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Answer 2

prove that three following points are collinear -4,-2,6,3,0