Question

The graphs of the equations 6x – 2y + 9 = 0 and 3x – y + 12 = 0 are two lines which are

Options

• coincident

• parallel

• intersecting exactly at one point

• perpendicular to each other

Answer 1

Parallel

Explanation:

`(a_1)/(a_2) = 6/3 = 2/1`

`(b_1)/(b_2) = (-2)/(-1) = 2/1`

And `(c_1)/(c_2) = 9/12 = 3/4`

∴ `(a_1)/(a_2) = (b_1)/(b_2) ≠ (c_1)/(c_2)`

So, the system is inconsistent and hence the lines are parallel.