Question

If the points a(x,2) b(-3, -4) and c (7,5) are collinear.Find the value of x

Answer 1

Answer:

x = 11 / 3

Step-by-step explanation:

The three points are collinear

<=> slope of line from b to a  =  slope of line from b to c  (same line!)

<=> ( 2 - (-4) ) / ( x - (-3) )  =  ( 5 - (-4) ) / ( 7 - (-3) )

<=> 6 / ( x + 3 ) = 9 / 10

<=> 9 ( x + 3 ) = 60

<=> 9x = 60 - 27 = 33

<=> x = 33 / 9 = 11 / 3

Answer 2

Hope you understood!!