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Agata [3.3K]
2 years ago
15

Write the equation x + 3y = -4 in slope-intercept form, and then find the slope and y-intercept.

Mathematics
1 answer:
katrin2010 [14]2 years ago
4 0

<u>Answer with step by step explanation</u>

To find the equation of the line from the given equation, you have to make y as the subject in the equation.

<u>Let us find now.</u>

x + 3y = -4

3y = -4 - x

3y = -x - 4

<em>Divide the whole equation by 3.</em>

y = -x/3 - 4/3

Therefore, <u>the equation of the line</u> is:

<u> y = -x/3 - 4/3</u>

And now we have to find the slope and the y - intercept of the line.

That is, we have to find the m & c of y = m x + c.

Here,

m ⇒ slope

c ⇒ y - intercept

So, to find it we have to find the values which were replaced with m & c.

<u>Let us find now.</u>

y = m x + c

y = <u>-x/3</u> <u> - 4/3</u>

Now it is clear that, <u>-1/3 & -4/3 are replaced with m & c</u> respectively.

Therefore,

slope ⇒<u> -1/3</u>

y - intercept ⇒<u> -4/3</u>

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