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2 years ago

Find the slope of the line that contains the points (-5, 3) and (-1, -5).

Mathematics

1 answer:

My name is Ann [436]2 years ago

3 0

Slope of the line
(3-(-5)) / (-5-(-1))
8 / -4
-2

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Flashback! Do you remember what these numbers tell you? The 10 means it will pay only $10,000 maximum for injury to any one pers

iogann1982 [59]

Answer:

10 -- $10k to any one person
20 -- $20k to all persons, total
5 -- $5k for property damage

all are maximum values

Step-by-step explanation:

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The 10 means it will pay only $10,000 maximum for injury to any one person in an accident.

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2 years ago

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2 years ago

Distance between parallel lines y=3x+10 and y=3x-20

Alecsey [184]

1. Take an arbitrary point that lies on the first line y=3x+10. Let x=0, then y=10 and point has coordinates (0,10).

2. Use formula $d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+B^2}}$ to find the distance from point $(x_0,y_0)$ to the line Ax+By+C=0.

The second line has equation y=3x-20, that is 3x-y-20=0. By the previous formula the distance from the point (0,10) to the line 3x-y-20=0 is:

$d=\dfrac{|3\cdot 0-10-20|}{\sqrt{3^2+(-1)^2}}=\dfrac{30}{\sqrt{10}}=3\sqrt{10}$ .

3. Since lines y=3x+10 and y=3x-20 are parallel, then the distance between these lines are the same as the distance from an arbitrary point from the first line to the second line.

Answer: $d=3\sqrt{10}$ .

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2 years ago