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4 years ago

Through: (-3, 5), parallel to y= -8/3x -2

Mathematics

1 answer:

weqwewe [10]4 years ago

5 0

Answer:

y = -8/3x - 3

Step-by-step explanation:

m (or slope) = -8/3 (since it is parallel, it is the same slope)

y = -8/3x + b

5 = -8/3(-3) + b

5 = 24/3 + b

5 = 8 + b

-8 -8

-----------

-3 = b

New lines: y = -8/3x -3

*I posted a picture for proof

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2:5 = 2/5

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What is the simpest form of 69 over 30?

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3 years ago

What is an equation in point-slope form of the line that passes through (-7.1) and (-3.9)?

forsale [732]

Answer:

$y-1=2(x+7)$

Step-by-step explanation:

Point-slope form: $y-y_1=m(x-x_1)$ where a given point is $(x_1,y_1)$ and the slope is $m$

1) Find the slope of the line (m)

Slope = $\frac{y_2-y_1}{x_2-x_1}$ where the given points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the points (-7,1) and (-3,9)

$= \frac{9-1}{-3-(-7)}\\= \frac{8}{-3+7}\\= \frac{8}{4}\\= 2$

Therefore, the slope of the line is 2. Plug 2 into the equation as m:

$y-y_1=2(x-x_1)$

2) Plug one of the given points into the equation

We plan either plug in (-7,1) or (-3,9) and it would work either way. Below you can see the equation plugging in the point (-7,1):

$y-1=2(x-(-7))\\y-1=2(x+7)$

I hope this helps!

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3 years ago

The numerator of a fraction (which is in its simplest form) is 5 less than the denominator. If the numerator is multiplied by 2,

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N = d - 5

2n/(d + 16) = n/d - 1/3 n/d
2n/(d + 16) = 2/3 n/d Divide by 2n
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Here's the tricky part.
d + 16 = 3d the two denominators are equal. the numerators are both 1.
16 = 2d
d = 8
so the numerator is d - 5
n = 8 - 5
n = 3

Let's see if it checks out.
n = 3
d = 8

2*3 = 6
8 + 16 = 24
New fraction 6/24 = 1/4
(3/8 - 1/3 ) = 1/8
3/8 - 1/8 = 1/4 so it checks with the original conditions put on it.

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