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ser-zykov [4K]
3 years ago
9

Which of the following is the equation of a line perpendicular to the line, , passing through the point (3,9)?

Mathematics
1 answer:
julsineya [31]3 years ago
5 0
Y = -3/2x + 4...slope is -3/2
A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So that means the slope we will need is 2/3...see how I flipped the slope and changed the sign.
Now we use y = mx + b....slope(m) = 2/3....(3,9)...x = 3 and y = 9.
Time to sub...we r looking for b, the y intercept.

9 = 2/3(3) + b
9 = 2 + b
9 - 2 = b
7 = b 

so the perpendicular equation is : y = 2/3x + 7...but we need it in Ax + By = C form....
y = 2/3x + 7....multiply by common denominator of 3 to get rid of fractions
3y = 2x + 21...subtract 2x from both sides
-2x + 3y = 21....<== ur answer...normally, I would have multiplied this by -1 to make x positive...but that is not an answer choice
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Find two points on the graph that the line crosses through almost perfectly. It looks like (1,10) and (9,1) will do.

Use them to compute the slope:
m = (1 - 10) / (9 - 1)
= -9/8

Then set up the "point-slope form":
y - y0 = m * (x - x0)

You choose some point (x0, y0) that the line crosses through. We already know the line passes through (1,10) pretty well, so let's use that.

x0 = 1
y0 = 10

Now finish plugging into the equation:
y - 10 = -9/8 * (x - 1)

The above equation will work fine for an answer, but let's go a step further and solve for y.

y - 10 = -9/8x + 9/8
y = -9/8x + 9/8 + 10
y = -9/8x + 9/8 + 80/8
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4 0
3 years ago
Complete to get an equal ratio<br> 3x/y = ? /2y
amid [387]

Answer:

6x

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3x/y=x/2y

Since 2y is 2X greater than y, 6x is 2X greater than 3x.

So,

The answer is 6x.

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3 years ago
Wering a one-step expression for a real-world situation
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4d (the variable is usually x, though).

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2 years ago
Which expression represents 22 more than the difference between 95 and 63
SashulF [63]

Answer:

C

Step-by-step explanation:

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6 0
3 years ago
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Help me out with these two questions lol
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Answer:

94.2 cm

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Step-by-step explanation:

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The diamater is twice the radius, d=2r.

1) 2π·15 ≈ 94.2 cm

2) r = 10 inch. 2π·10 = 62.8 inch.

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