Question

The points (-3, 2), (2, -1) and (a, 4) are
collinear. Find a​

Answer 1

Answer:

a = 6 and 1/3 or ≈ - 6.33333...

Step-by-step explanation:

Three or more points that lie on the same line are collinear points and slope of any two pairs of points is same.

m = ($y_{2}$ - $y_{1}$) / ($x_{2}$ - $x_{1}$)

if A(-3,2), B(2,-1), C(a,4)

m(AB) = (-1 - 2) / (2 - (-3)) = -3 / 5

m(BC) = -3/5

(4 - (- 1)) / (a - 2) = -3/5

5 / (a - 2) = -3/5

-3(a - 2) = 25

-3a + 6 = 25

-3a = 19 ==> a = 19/(-3) = - 6$\frac{1}{3}$