First slide

Equation of line in Straight lines

Question

If the points $A (- 2, - 5), B (2, - 2)$ and $C (8, a)$ are collinear. then $a =$

Moderate

A

$- 5 / 2$
B

$5 / 2$
C

$3 / 2$
D

$1 / 2$

Solution

Since $A, B, C$ are collinear points.
$∴$ Slope of $A B =$ Slope of $A C \Rightarrow \frac{3}{4} = \frac{a + 5}{10} \Rightarrow a = \frac{5}{2}$

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