Question

The graphs of the equations 2x + 3y – 2 = 0 and x – 2y – 8 = 0 are two lines which are

Options

• coincident

• parallel

• intersecting exactly at one point

• perpendicular to each other

Answer 1

Intersecting exactly at one point

Explanation:

`(a_1)/(a_2) = 2/1, (b_1)/(b_2) = 3/(-2)`.

So, `(a_1)/(a_2) ≠ (b_1)/(b_2)`.

Thus, the system has a unique solution and therefore the lines intersect exactly at one point.