Question

• Is the line through points P(-10, 9) and (-13, 15) perpendicular to the line through points R(-3, 4) and (4,-2)

A. Yes, their slopes are equal.
B Yes; their slopes have product -1.
C. No, their slopes are not opposite reciprocals.
D. No; their slopes are not equal."

Answer 1

The line through points P(-10, 9) and (-13, 15) is not perpendicular to the line through points R(-3, 4) and (4,-2) because their slopes are not opposite reciprocals.

Step-by-step explanation:

In order to determine if the line through points P(-10, 9) and (-13, 15) is perpendicular to the line through points R(-3, 4) and (4,-2), we need to compare the slopes of the two lines.

The formula to find the slope of a line is given by m = (y2 - y1) / (x2 - x1). For the first line, the slope is (15 - 9) / (-13 + 10) = 6 / -3 = -2. For the second line, the slope is (-2 - 4) / (4 - (-3)) = -6 / 7.

Since the slopes of the two lines are not opposite reciprocals (-2 and -6/7 are not reciprocals of each other), the answer is C. No, their slopes are not opposite reciprocals.