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ipn [44]
2 years ago
8

Find the equation of the line that passes through (1,3) and is perpendicular to y = 1 − 2 x . Leave your answer in the form y =

m x + c
Mathematics
1 answer:
Juliette [100K]2 years ago
8 0

Answer:

y =  \frac{1}{2} x +  \frac{5}{2}

Step-by-step explanation:

Since the line with equation y = 1 - 2x has slope -2, we need to find the equation of the line with slope 1/2.

3  =  \frac{1}{2} (1) + b

3  =   \frac{1}{2}  + b

b =  \frac{5}{2}

y =  \frac{1}{2}x +  \frac{5}{2}

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3 years ago
B is the midpoint of AC and E' is the midpoint of BD. If A(-9,-4), C(-1, 6), and E(-4,-3), find the coordinates of D.
Ipatiy [6.2K]
The coordinates for D are (-4, -7)

First we must locate point B as it is vital to finding the midpoint of BD. To do this, we take the average of the endpoints AC since B is its midpoint. 

x values = -9 + 1 = -8
Then divide by 2 for the average -8/2 = -4

y values = -4 + 6 = 2
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Therefore B must be (-4, 1)

Now we know the values of E must be the average of B and D. So we can write equations for each coordinate since we know they are averages. 

x - values = (Bx + Dx)/2 = Ex
(-4 + Dx)/2 = -4 ---> multiply both sides by 2
-4 + Dx = -8 ---> add -4 to both sides
Dx = -4

y - values = (By + Dy)/2 = Ey
(1 + Dy)/2 = -3 ---> multiply both sides by 2
1 + Dy = -6 ---> subtract 1 from both side
Dy = -7

So the coordinates for D must be (-4, -7)
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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