Question

The points A(2,3), B(-5,0) and C(-2,a) are collinear , find the value of 'a'.

• A. $\frac{9}{7}$
• B. $\frac{7}{9}$
• C. a = $\frac{13}{7}$
• D. a = $\frac{7}{13}$

Answer 1

The correct option is A

$\frac{9}{7}$

If the points are collinear

Slope of AB = Slope of BC

$\frac{0-3}{-5-2}$ = $\frac{a-0}{-2+5}$

$\frac{-3}{-7}$ = $\frac{a}{3}$

$\therefore$ a = $\frac{9}{7}$