Question #e45fb

2 Answers
Jan 22, 2018

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 :)

Jan 22, 2018

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.