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salantis [7]
3 years ago
8

The lines below are perpendicular if the slope of the green line is 3/2 what is the slope of the red line

Mathematics
2 answers:
shepuryov [24]3 years ago
8 0

Answer:

The perpendicular line has a slope of -2/3

Step-by-step explanation:

Perpendicular lines have a slope that multiplies to -1

3/2 * m = -1

Multiply each side by 2/3

3/2 * 2/3 *m = -1 * 2/3

m = -2/3

Whitepunk [10]3 years ago
6 0

Answer: -2/3

Step-by-step explanation: The key to understanding this problem is to understand what it means when slopes are perpendicular.

To most students, perpendicular lines are simply

lines that meet  at a 90 degree angle.

However, when dealing with these kinds of problems, it's important

to think about perpendicular lines in terms of their slopes.

As a rule, the slopes of two perpendicular

lines are always negative reciprocals.

So if we know that the slope of one line is 3/2, we can find the slope of the other line by finding the negative reciprocal of 3/2.

So we take the fraction and flip it, then we change the sign.

So the negative reciprocal of 3/2 is -2/3.

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Jordan will hike the trail at a rate of 4mph. Write a linear equation to represent the distance Jordan still has to walk after x
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The linear equation would be y = 18 - 4x which represents the distance Jordan still has to walk after x hours.

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<h3>What is the distance?</h3>

Distance is defined as the product of speed and time.

We have to determine the distance.

So distance = speed× time

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So distance = 4 × x

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