Question

Find the value of k if the slope of the line joining the points (3,-4) and the (k,2) is -3

Answer 1

Answer:

(3, -4) = (x1, y1)

(k, 2) = (x2, y2)

.: By slope formula,

$\frac{y2 - y1}{x2 - x1} \\ \frac{2 - ( - 4)}{k - 3} = - 3 \\ \frac{2 + 4}{k - 3} = - 3 \\ \frac{6}{k - 3} = - 3 \\ \frac{2}{k} = - 3 \\ k = \frac{ - 3}{2}$

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