Question

Which best describes the system made up of the lines (y = {2}{3}x - 5) and (y = -{2}{3}x + 7)?

a) The lines are parallel and have the same slope.
b) The lines are perpendicular.
c) The lines intersect at a right angle.
d) The lines have the same y-intercept.

Answer 1

The lines are parallel and have the same slope.

Step-by-step explanation:

The given equations are y = (2/3)x - 5 and y = -(2/3)x + 7.

To determine if the lines are parallel, we compare their slopes. The slopes of the two lines are both 2/3, but with different signs. Therefore, the lines have the same slope, which means option a) The lines are parallel and have the same slope is the correct answer.