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Dmitrij [34]
2 years ago
15

If the line above is translated 5 units up and 8 units left, what is the slope of thenew line?​

Mathematics
1 answer:
vazorg [7]2 years ago
3 0
The slope is 5/-8

Since rise/run...

Rise = +5 and Run = -8
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Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?
Sergeu [11.5K]
Hello!

First of all we find the slope by dividing the difference of the y values by the difference of the x values as seen below.

\frac{-3-11}{1+3} = -\frac{14}{4} = \frac{7}{2}

The slope of our line is 7/2, or 3.5
-------------------------------------------------------------
Now we will put the slope and a point on our line into slope intercept form and solve for b. We will use (-3,11).

11=3.5(-3)+b
11=10.5+b
b=0.5

Our final equation is shown below.

y=3.5x+0.5

I hope this helps!


7 0
3 years ago
Read 2 more answers
Solve for m GHI if m GHJ = 59° and m JHI = 39º.
Setler79 [48]

Answer:

m GHI = 82°

Step-by-step explanation:

59+39=98

180-98=82 <==== answer

180 is the total amount of degree

7 0
2 years ago
27 - (2 + 3) - 10 ÷ 2
svetlana [45]

Answer:

27_5_10/2

27_5_5

22_5

17

6 0
3 years ago
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A lookout tower is 16 meters tall. Its shadow is 12 meters long. Close by, there is a wooden column that is 4 meters tall. How l
Lelechka [254]

Answer:

3 metres

Step-by-step explanation:

If we draw this out, we'll see that there are actually two similar right triangles (see attachment), which means that we can set up a proportion.

The height of the lookout tower corresponds to the height of the wooden column, while the shadow of the lookout tower corresponds to the shadow of the wooden column. We can then write:

(height of lookout tower) / (shadow of tower) = (height of column) / (shadow of column)

16 / 12 = 4 / x , where x is the shadow / unknown we want to find

Cross-multiply:

16x = 48

x = 3

The answer is thus 3 metres.

7 0
3 years ago
The slope of the line below is 2. Which of the following is the the point-slope form of the line?
Jobisdone [24]

Answer:  y + 1 = 2 (x -1)

Step-by-step explanation:

Point slope form is:

y - y1 = m (x - x1)

Point on the line is (1, -1) and slope is 2

m = 2

y1 = -1

x1 = 1

y - (-1) = 2 (x - 1) or y + 1 = 2 (x -1)

5 0
3 years ago
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