Question

If each of the points (a,4),(-2,b) lies on the
line joining the points (2,-1),(5,-3),then the
point (a,b) lies on line
​

Answer 1

Step-by-step explanation:

Equation of the line passing through the point (2,−1) and (5,−3)

x-2/y+1=5-2/-3+1

⇒−2x+4=3y+3

⇒2x+3y−1=0....(i)

Also (a,4) and (−2,b) lies on the line (i)

2a+3(4)−1=0

⇒2a+12−1=0

⇒2a=−11

⇒a=-11/2

2(−2)+3b−1=0

⇒−4+3b−1=0⇒3b=5

⇒b= 5/3

2x+6y+1=0 is the required line.

Please make me as brainlist