Question

Line A passes through (-1,-2) and (1, 2). Line B passes through (-2, 0) and (0, 4). Are these lines parallel, perpendicular, or neither?

a. Parallel
b. Perpendicular
c. Neither

Answer 1

Lines A and B are parallel.

Step-by-step explanation:

Parallel lines are lines in a plane that do not intersect, no matter how far they are extended. In other words, parallel lines are always the same distance apart and will never meet. Mathematically, parallel lines have the same slope.

The slopes of lines A and B can be found by using the formula: slope = (change in y)/(change in x). For line A, the slope is (2 - (-2))/(1 - (-1)) = 4/2 = 2. For line B, the slope is (4 - 0)/(0 - (-2)) = 4/2 = 2. Since the slopes of the two lines are equal, they are parallel.