Question

27.
Find the equation of the line which is parallel to the line 2x+3y-7=0 and
passes through the origin​

Answer 1

Answer:

The slope of the line is m = -a/b = -2 / 3

And the line required passes through the origin, i.e x1=0 and y1=0.

Now, using slope - point form of the line,

y - y1 = m (x - x1)

y - 0 = (-2/3) (x-0)

or y = -2/3 x

or 3y = -2x

or 2x + 3y = 0

Therefore the required equation is 2x+3y = 0