Question

(-8,4), (-2,4), (5,a) is linear point find a

Answer 1

Answer with Explanation :

we have given, three points

(-8,4) , (-2,4) , (5, a)

let us consider the points are,

A(-8,4) , B (-2,4) , C(5,a)

if this three given points are collinear then then their slopes,

slope of AB = slope of BC

$\sf (\frac{4-4}{-2-(-8)}) =(\frac{a-4}{5-(-2)})$

$\sf (\frac{0}{-2-(-8)})=(\frac{a-4}{5+2})$

$\sf 0 = (\frac{a-4}{5+2})$

$\sf 0 (5+2) = (a-4)$

$\sf 0 =( a - 4)$

$\implies \boxed{\sf a = 4}$