What could be the equation of a line parallel to the line $7x-12y= -32$ ?

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Answer 1 · 2017-06-28T00:58:32

$y=7/12x+"any y-intercept"$

What we want to do first is to get the equation in the form of $y=mx+b$ .

Let's do that!

$7x-12y= -32$

Begin by subtracting $7x$ from both sides:

$cancel(7x-7x)-12y= -7x-32$

Now divide both sides by $-12$ :

$cancel(-12y)/cancel(-12)= (-7x-32)/-12$

$y=7/12x-32/12$

Here's the thing now, parallel lines have equal slopes. So, we simply just use the same slope when writing a new equation of a line.

$y=7/12x+b$

Since the question asked you what could be a line that is parallel you can add any $b$ value otherwise known as the $"y-intercept"$ .

What could be the equation of a line parallel to the line 7x-12y= -327x-12y= -32?