The line joining the pointegrals (–1, 3) and (4, –2) will pa... | MATH - SLOPE OF LINE, EQUATION OF LINE IN | SolveeIt | Solveeit

Today, August 18

Question

The line joining the points (–1, 3) and (4, –2) will pass through the point (p, q) if.

A

$p - q = 1$

B

$p + q = 1$

C

$p - q = 2$

D

$p + q = 2$

Answer

$p + q = 2$

Explanation

Solution

Line joining point $( - 1,3 )$ and $( 4 , - 2 )$ is

$( y + 1 ) = \frac { - 5 } { 5 } ( x - 3 )$ ⇒ $y + 1 = - 1 ( x - 3 )$

$x + y = 2$ ..... (i)

If line (i) passes through point (p, q), then $p + q = 2$ .