Is the line through points P(2,-9) and Q(6, -13) perpendicular to the line through points R(5,-1) and

1 answer:

8 0

Line through P(0, 5) and Q(-1, 8):
slope = m = (y2 - y1) / (x2 - x1) = (8 - 5) / (-1 - 0) = 3 / -1 = -3

line through R(3, 3) and S(5, -1):
slope = m = (y2 - y1) / (x2 - x1) = (-1 - 3) / (5 - 3) = -4 / 2 = -2

Parallel lines have equal slopes. Since the two lines have different slopes, they are not parallel.

You might be interested in

What is a necessary step for constructing perpendicular lines through a point off the line?

mixas84 [53]

Draw arcs on either side of a given point on the line

To construct a line perpendicular to another line through a point on the line:

Measure a length from that point to one edge of the line

Draw two intersecting arcs on either sides of the line

Draw a straight line from the intersecting point of the arcs to the point on the existing line.

The new line drawn is a perpendicular line.

The only step necessary out of the given choices is "Draw arcs on either side of a given point on the line"

Option C is the correct choice

Learn more here: brainly.com/question/929137