Question

"Given that line h goes through the points (-11, 15) and (17, 0), what are the following:

The slope of a line parallel to line h.
The slope of a line perpendicular to line h.
The slope of line h."

Answer 1

The slope of line h is -15/28. The slope of a line parallel to line h is -15/28. The slope of a line perpendicular to line h is 28/15.

Step-by-step explanation:

To find the slope of line h that goes through the points (-11, 15) and (17, 0), we use the slope formula m = (y2 - y1) / (x2 - x1). Plugging in the points, the slope is m = (0 - 15) / (17 - (-11)) = (-15) / (28) = -15/28.

A line parallel to line h will have the same slope, so the slope of a line parallel to line h is also -15/28.

To find the slope of a line perpendicular to line h, we use the negative reciprocal of line h's slope. The negative reciprocal of -15/28 is 28/15. Therefore, the slope of a line perpendicular to line h is 28/15.