Are the graphs of the lines in the pair parallel? explain. find the slope of a line parallel to 5x+2y=6

Yes the graphs of the lines are in pair parallel.

Step-by-step explanation:

They are in pair parallel because they do not touch each other. To find the slope of the line that is parallel to 5x+2y=6...

The first thing to do is subtract 5x since its a positive so it would look like this:

5x+2y=6

-5x      =-5x

Next you would divide by 2 on each side so the y can be isolated:

5x+2y=6

-5x     =-5x

      2y = -5x + 6

      2          2

Lastly the 2 divided by 2 gets crossed out because they cancel each other out and divide -5x by 2 and 6 by 2 then you would be stuck with this:

y= -2.5x+3

So your parallel slope would be -2.5x.

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