Question

Choose the correct way to end the sentence.

The lines - 2y=
3/5 and y = 4x +
5/3 are parallel, perpendicular, or neither.

Answer 1

The lines -2y=3/5 and y=4x+5/3 are neither parallel nor perpendicular.

Step-by-step explanation:

The two equations -2y = 3/5 and y = 4x + 5/3 can be manipulated to be in the form y = mx + b, where m is the slope of the line. Parallel lines have the same slope, so if the two equations have the same slope, they are parallel. By rearranging both equations, we get y = -3/10x and y = 4x + 5/3.

The slope of the first equation is -3/10, and the slope of the second equation is 4, which are not equal. Therefore, the lines are neither parallel nor perpendicular.