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horsena [70]
3 years ago
10

Gerry thinks that the points (4,2) and (−1,4) form a line perpendicular to a line with slope 4. Do you agree? Why

Mathematics
1 answer:
faust18 [17]3 years ago
4 0

Answer:

The answer to your question is these lines are not perpendicular.

Step-by-step explanation:

Data

A (4, 2)

B (-1, 4)

slope = m = 4

Perpendicular lines mean that these lines cross and form an angle of 90°. Also, the slope of perpendicular lines is negative reciprocals.

Process

1.- Find the slope of the second line and compare it to the slope given.

slope = \frac{y2 - y1}{x2 - x1}

Substitution

slope = \frac{4 - 2}{-1 - 4}

Simplification and result

slope = \frac{-2}{5}

-2/5 is not a negative reciprocal of 4, so these lines are not perpendicular.

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