10.ifp(a/3,4)is the mid-point of the line segment joining the points q(-6,5)and r(-2,3),
then find the value of'a'.

a = -12

Step-by-step explanation:

Mid point =(x₁+ x₂/2, y₁+y₂/2)

(a/3,4)    = (-6+ [-2]/2, 5+3/2)

(a/3,4)    = (-6 -2/2, 5+3/2)

(a/3,4)    = (-8/2, 8/2)

(a/3,4)    = (-4,4)

Comparing the X- co ordinates,

a/3 = -4

a = -4 *3 = -12

Hi, there your answer is x=4

Step-by-step explanation:

Step 1: Add 2 to both sides.

3x−2+2=10+2

3x=12

Step 2: Divide both sides by 3.

x=4