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

1 Answer
Jun 28, 2017

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

Explanation:

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".