Question

16. P(2,-1)Q(-3,-1), R(-11,9), S(-7,9)
Determine if lines PQ and RS are parallel or perpendicular or neither

Answer 1

Using slopes, it is found that the lines are parallel.

• The slope between two points is given by the change in y divided by the change in x.
• If two lines are parallel, they have the same slope.
• If two lines are perpendicular, the multiplication of their slopes is -1.

Line PQ has points P(2,-1) and Q(-3,-1), hence, the slope is:

$m_{PQ} = \frac{-1 - (-1)}{-3 - 2} = 0$

Line RS has points R(-11,9) and S(-7,9), hence, the slope is:

$m_{RS} = \frac{9 - 9}{-7 - (-11)} = 0$

Same slope, so parallel.

A similar problem is given at https://brainly.com/question/20847660