Line c passes through points (28,46) and (-33,31) Line d passes through points (88,-64) and (27,-79) Are line c and line d parallel or perpendicular? parallel perpendicular neither

To determine whether lines c and d are parallel, perpendicular, or neither, we need to find the slopes of each line and compare them.

Step 1: Find the slope of line c.
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:
slope = (y2 - y1) / (x2 - x1)

For line c, the points are (28, 46) and (-33, 31).
Using the formula, we get:
slope of line c = (31 - 46) / (-33 - 28)
= -15 / -61
= 15/61

Step 2: Find the slope of line d.
Using the same formula as above, we can find the slope of line d by substituting the given points (88, -64) and (27, -79).
slope of line d = (-79 - (-64)) / (27 - 88)
= -15 / -61
= 15/61

Step 3: Compare the slopes of line c and line d.
If the slopes are equal, the lines are parallel.
If the slopes are negative reciprocals of each other, the lines are perpendicular.
If neither condition is met, the lines are neither parallel nor perpendicular.

In this case, the slopes of both line c and line d are 15/61. Since the slopes are equal, the lines are parallel.

Answer: parallel