Make the equation of the straight line AB if A (4; -1) B (-6; 2).

Let us write the canonical equation of the straight line that passes through the given two points A (4; -1) and B (-6; 2):

(x – 4) / (-6 – 4) = (y – (-1)) / (2 – (-1));

(x – 4) / (-10) = (y +1) / 3;

3 * x – 12 = -10 * y – 10;

3 * x – 12 + 10 * y + 10 = 0;

3 * x + 10 * y – 2 = 0.

Answer: 3 * x + 10 * y – 2 = 0.



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