Question

I need help I have no clue how to do this.

Answer 1

The slope, m, of a line that passes through the points (x1, y1) and (x2, y2) is calculated as follows:

`m=(y_2-y_1)/(x_2-x_1)`

Line q passes through the points (0, 3) and (5, 0), then its slope is:

`m_q=(0-3)/(5-0)=-(3)/(5)`

Line v passes through the points (0, -3) and (5, -6), then its slope is:

`m_v=(-6-(-3))/(5-0)=-(3)/(5)`

Since both lines have the slope of -3/5, lines q and v are parallel