Question

Check whether the given pair of equations represent intersecting or parallel
2x + 4y-6= 0, 4x + 8y - 12 = 0​

Answer 1

Answer:

Intersecting

Step-by-step explanation:

If these lines are parallel these lines must be inclined at same angle and have different slopes. If they have inclined at different angles, they don't go in same direction(don't have same slope).

Converting these lines in standard form:

4y = -2x + 6 and 8y = - 4x + 12

y = - (1/2)x + (3/2) and y = -(1/2)x + (3/2)

Notice that both lines are same.

Since both equations represent the same line, this is always intersecting.

Here we have only one line, which is always intersecting to itself.