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PilotLPTM [1.2K]
3 years ago
15

What is an equation in point-slope form of the line shown below?

Mathematics
2 answers:
NNADVOKAT [17]3 years ago
7 0

Answer:

Answer:

Hence,  is the required equation of line.

Step-by-step explanation:

A line is passing through the coordinates (-4,1) and (4,-3).

The equation of the line passing through () and () is given by:

Here we have:    and

so on substituting in the formula we have:

Hence,  is the required equation of line.

Step-by-step explanation:

jeka943 years ago
4 0

Answer:

Hence, y-1=\dfrac{-1}{2}(x+4) is the required equation of line.

Step-by-step explanation:

A line is passing through the coordinates (-4,1) and (4,-3).

The equation of the line passing through (x_1,y_1) and (x_2,y_2) is given by:

y-y_1=\dfrac{y_2-y_1}{x_2-x_!}(x-x_1)

Here we have:   (x_1,y_1)=(-4,1) and (x_2,y_2)=(4,-3)

so on substituting in the formula we have:

y-1=\dfrac{-3-1}{4-(-4)}(x-(-4))\\ \\y-1=\dfrac{-4}{8}(x+4)\\\\y-1=\dfrac{-1}{2}(x+4)

Hence, y-1=\dfrac{-1}{2}(x+4) is the required equation of line.


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Simplify the slope of AC
Lemur [1.5K]

Answer:

Slope\:\: \overline{AC} =1

Step-by-step explanation:

A is on the same point on the x-axis as B and the same point on the y-axis as D

  • Therefore, the coordinate of A is (0,0)

C is on the same point on the x-axis as D and the same point on the y-axis as B.

  • Therefore, the coordinate of C is (a,a)

We are to determine the slope of the line joining A to C.

Slope, m =\dfrac{y_2-y_1}{x_2-x_1} \\(x_1,y_1)=(0,0),(x_2,y_2)=(a,a)\\$Therefore, Slope of AC$\\m =\dfrac{a-0}{a-0}\\=\dfrac{a}{a}\\\\=1

Slope\:\: \overline{AC} =1

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3 years ago
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Answer: It would be B

Step-by-step explanation:

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If you go on a road trip of 270 miles in the mountains and 7/ 10 of the trip is downhill, how many miles of the trip are not dow
skelet666 [1.2K]

Answer:

81 miles

Step-by-step explanation:

From the question 7/10 of the trip has been said to be downhill. It therefore means that 3/10 is not downhill.

Miles = 270

Downhill = 7/10

Not downhill = 3/10

Now we have To calculate Miles that are not downhill (uphill)

But first I calculated for the number of downhill miles

270x7/10

Downhill = 189 miles

To get the number of not downhill miles

I subtracted 189 from the total number of miles on the question.

270 - 189

= 81 Miles.

Therefore 81 Miles of the trip are not downhill.

If you have anymore questions or need clarity please let me know on the comment section. Thank you and Good luck!

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