SOLUTION: write the equation of the line through the point (3,0) amd parallel to 2x-3y=1

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Question 682834: write the equation of the line through the point (3,0) amd parallel to 2x-3y=1
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Any line that is parallel to 2x-3y=1 is the equation 2x-3y=C where C is any real number (but 1)

2x-3y=C

2(3)-3(0)=C ... Plug in (3,0) which is the point the parallel line goes through.

6-0=C

6=C

C = 6

So the equation of the parallel line in standard form is 2x - 3y = 6


If you want the equation in slope intercept form, then

2x+-+3y+=+6

-3y+=+-2x+%2B+6

y+=+%28-2x%29%2F%28-3%29+%2B+6%2F%28-3%29

y+=+expr%282%2F3%29x-2

So the equation of the parallel line in slope-intercept form is y+=+expr%282%2F3%29x-2