Question

If the points A(x,2), B(-3, -4) and C(7, -5) are collinear then the value of x is (a) -63 (b) 63 (c) 60 (d) -60

Answer 1

slope of AB = slope of BC
$\frac{ - 4 - 2}{ - 3 - x} = \frac{ - 5 + 4}{7 + 3 } \\ \frac{ - 6 }{ - 3 - x} = \frac{ - 1}{10} \\ - 6 \times 10 = - 1 \times ( - 3 - x) \\ - 60 = + 3+x \\ -60-3 = x \\ x = -63$
x=-63
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