Determine whether the lines are parallel, perpendicular or neither: line 1: 4y−12=3x line 2: 2y−1.5x=−14

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We manipulate the expressions to model them in the pending-intersection form

Line 1:

Line 2:

By definition, we have that if two lines are parallel then their slopes are equal. It is observed that the slopes of both lines are equal, so the lines are parallel.

The lines are parallel

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step-by-step explanation: