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3 years ago

A line is represented by the equation 3x+2y=4. what is another way to represent the same line?

1 answer:

7 0

3x + 2y = 4

Here are a few different ways
to represent the same line:

2y = 4 - 3x

y = -1.5x + 2

5y = -7.5x + 10

3x = 4 - 2y

x = -2/3y + 4/3

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2 years ago

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Answer:

$\displaystyle y-5=-\frac{10}{9}(x+6)$

Or:

$\displaystyle y+5=-\frac{10}{9}(x-3)$

Step-by-step explanation:

We want to write the equation of a line that passes through the points (-6, 5) and (3, -5) in point-slope form.

Point-slope form is given by:

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Thus, first, we need to find the slope. We can use the slope formula:

$\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{(-5)-(5)}{(3)-(-6)}=\frac{-10}{9}=-\frac{10}{9}$

Next, we can use either of the two given points. I'll use (-6, 5). So, let (-6, 5) be (x₁, y₁). Substitute:

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Or, fully simplified:

$\displaystyle y-5=\frac{-10}{9}(x+6)$

Using the other point, we will acquire:

$\displaystyle y-(-5)=-\frac{10}{9}(x-(3))$

Or, simplified:

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2 years ago

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Answer:

Below in bold.

Step-by-step explanation:

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2 years ago