Question

Question #e45fb

Answer 1

Yes slopes are equal

Explanation:

Any line can be expressed as `y=mx+c` where `m` is the slope of the line
Hence here the slope of the line is
`3y=4x-12`
So `y=4/3x-4`
Slope is `4/3`
Now for finding the slope of the line formed by the other 2 points we use `m =( y2-y1)/(x2-x1)`
So substituting the values we get `m = (0-4)/(-3-0) = 4/3`
Therefore the slopes are equal hence the lines formed are parallel
Hope u find it helpful :)

Answer 2

See below

Explanation:

Let the lines be `L_1` and `L_2` such that,
`L_1 => 4x - 3y = 12`

For `L_2`,
using two point form (as 2 points are given),

`(y - 0)/(x -(-3)) = (0 - 4)/(-3 - 0)`
`=> y/(x + 3) = 4/3`

`L_2 => 4x - 3y = -12`

POINT TO REMEMBER :-
If the slopes of the lines are equal then, the lines are parallel or coincident.

From `L_1`,
`y = 4/3x - 4`

From `L_2`,
`y = 4/3x + 4`

We can clearly see that, the slopes of both the lines are equal,
i.e., `m = 4/3`

`:.` We conclude that the lines are parallel as their slopes are
equal.