💥 Q 72 Prep 3 Geometry Question Bank T1

Given points A \((5, -6)\), B \((3, 7)\), and C \((1, -3)\), find the equation of the straight line which passes through point A and the midpoint of \(\overline{BC}\).

(a) \(y = \frac{3}{8}x - \frac{22}{3}\)

(b) \(y = \frac{8}{3}x - \frac{22}{3}\)

(c) \(y = -\frac{8}{3}x + \frac{22}{3}\)

(d) \(y = -\frac{3}{8}x + \frac{22}{3}\)

The correct answer is (c) \(y = -\frac{8}{3}x + \frac{22}{3}\)

MR/Nasef.N