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serious [3.7K]
3 years ago
12

What is the equation of a line that passes through the points (3,6) and (8, 4)?

Mathematics
1 answer:
Delvig [45]3 years ago
7 0

Answer:

In the equation y=mx+b, 'm' is the slope of the line and 'b' is the y-intercept.  

First, you should find the slope of the line.  To do this, use the equation M=y2-y1/x2-x1.  Using the two given points (3,6) and (8,4), you can solve for M.  

M=4-6/8-3

M=-2/5 (-0.4 in decimal form)

Now, your equation is y=-0.4x+b

Next you must solve for b to find the y-intercept.  You can do this by subbing one of the given points in for x and y.  

Using the point (3,6):

y=-0.4x+b

6=-0.4(3)+b

6=-1.2+b

Isolate b:

6+1.2=b

b=7.2

And now you have the equation of the line!

y=-0.4x+7.2 (IN FRACTION FORM: y=-2/5x+36/5)

Step-by-step explanation:

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A rectangle has a length this is three times its width. If the area of the rectangle is 27 square feet, what are the dimensions
yuradex [85]

Answer:

The width of the rectangle is 3 and the width is 9. Those are reasonable measurements.

Step-by-step explanation:

6 0
3 years ago
Picking a blue shirt from a drawer with 8 blue shirts and 2 white shirts.
meriva
If you dealing with probability.


You got ten shirts 8 are blue 2 are white.

So you have an 80% chance of grabbing blue and 20% of white.

And 8:2 ratio
7 0
3 years ago
the record for the longest migration is held by the arts tern, which flies a round trip that can be as long as 20,000 miles per
attashe74 [19]

Answer:

<u>It will take an arctic tern 33.33 days or 33 days and 4 hours (rounded to the next hour) to cover a one-way flight of 10,000 miles</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Length of a round trip flight of an arctic tern = 20,000 miles ⇒ one-way flight = 10,000 miles

Miles per hour = 25

Hours of flight per day = 12

2. If the birds flies an average of 25 miles per hour and an average of 12 hours per day, how many days would it take for a one-way flight?

Let's calculate the number of miles per day, this way:

Miles per day = Miles per hour * Hours of flight per day

Miles per day = 25 * 12

Miles per day = 300

Now we calculate the number of days to cover 10,000 miles, a one-way flight from the Arctic to the Antarctic, as follows:

Number of days to cover 10,000 miles = 10,000/Miles per day

Number of days to cover 10,000 miles = 10,000/300

Number of days to cover 10,000 miles = 33.33

<u>It will take an arctic tern 33.33 days or 33 days and 4 hours (rounded to the next hour) to cover a one-way flight of 10,000 miles</u>

6 0
3 years ago
If an employee earns $638 in 88 hours, how much does he earn in 40 hours?
Maru [420]

Answer:

the answer is $290

Step-by-step explanation:

You divide 638 by 88 to find how much he wins an hour. Which you will get 7.25. Then you will do 7.25x40 which will give you 290

3 0
3 years ago
Read 2 more answers
Two numbers are in the ratio of 3:4. If 9 is subtracted from their sum, the result is 40. What is the greater number?
nikklg [1K]

Answer:

H.28

Step-by-step explanation:

x : y = 3 : 4

=> 4x=3y   => x=3y/4 -----(1)

(x+y)-9=40

=>x+y=49

using (1)

3y/4 +y= 49

y=28

substituting y in (1)

x=21

hence 28 is greater.

6 0
3 years ago
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