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38 votes
Which best describes the relationship between the line that passes through the points (6, -1) and (11, 2) and the line that passes through the

points (5-7) and (8-2)?

Which best describes the relationship between the line that passes through the points-example-1
User Michel Arteta
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1 Answer

13 votes
13 votes

Answer:

D. Neither perpendicular nor parallel

Explanation:

Let's find the slope (m) of both lines:

✔️Slope (m) of the line that passes through (6, -1) and (11, 2):

Slope (m) = change in y/change in x

Slope (m) = (2 -(-1))/(11 - 6) = 3/5

✔️Slope (m) of the line that passes through (5, -7) and (8, -2)

Slope (m) = change in y/change in x

Slope (m) = (-2 -(-7))/(8 - 5) = 5/3

✅The slope of both lines are not the same, therefore they are not parallel nor same line.

Also, the slope of one is not the negative reciprocal of the other, therefore they are not perpendicular.

User Dutzu
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3.0k points