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puteri [66]
3 years ago
5

M(1, 7) is the midpoint of PQ¯¯¯¯¯ . The coordinates of point P are (−8, 3) .

Mathematics
1 answer:
Volgvan3 years ago
6 0
X-8/2=1
x-8=2
x=10
y+3/2=7
y+3=14
y=11
Q (10,11)
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neonofarm [45]

Answer:

y = -3x+11

Step-by-step explanation:

I accept your challenge!

First we know that a equation of the line is a linear equation, and its equation is:

y = mx+b

m: \text{slope}\\b: \text{y-intercept}

In this context, the slope, defined as the steepness of a line is characterized as the ratio of RISE (the difference in the y-coordinates, the vertical change) over the RUN (the difference in x-coordinates, the horizontal change).

$m=\frac{\text{change in y}}{\text{change in x}}=\frac{\Delta y}{\Delta x}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}   $

Once we know two points where the line goes through, we can get the slope, once we know the change in y and x.

I will take (3,2) as Point 1 and (4,-1) as Point 2.

So, x_{1}=3 \text{ and } y_{1}=2\\x_{2}=4 \text{ and } y_{2}=-1

$m=\frac{\text{change in y}}{\text{change in x}}=\frac{\Delta y}{\Delta x}=\frac{-1-2}{4-3}   $

$m=\frac{-3}{1}=-3 $

Now we have to find the y-intercept:

To do so, think about the the points given and the nearly finished equation, we can find b with those two informations.

Our currently equation of the line is:

y = -3x+b

Using the points, take Point 1 as an example, it says that when x = 3, y = 2, so plugging it in the equation:

2 = -3(3)+b\\2 = -9+b\\11 = b

Taking the Point 2

-1 = -3(4)+b\\-1 = -12+b\\11 = b

Now we found b! The equation is complete!

y = -3x+11

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I need helpp its my final exam​
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Answer:

hey i believe that your answer is A. without having to do the math if you look at it you can tell that its bigger then options B and C so those are not it.  and  it is to small to be D. so with that said your answer is A have a nice dy and good luck!

Step-by-step explanation:

7 0
3 years ago
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Darya [45]

Answer:i dont kno what number u put

Step-by-step explanation:

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Chanelle deposits $7,500 into the bank. She does not withdraw or deposit money for 6 years. She earns 6% interest during that ti
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Answer: a. $2700

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