Question

find the point midway between the point (-1,3) and point of intersection of line 4x+y-10=0 and 2x+3y-8=0​

Answer 1

Answer:

$answer$

The point of intersection of lines,

5x+7y=3...(1) and

2x−3y=7...(2)

Solving (1) and (2) , we get,

(x,y)=(2,−1)

Therefore the equation of line passing through (0,0) and (2,−1) is

$(y - 0) = \frac{ - 1 - 0}{2 - 0} (x = 0)$

2y=−x

∴x+2y=0 is the required equation