SOLUTION: Find the equation for the line that passes through the point (2,0), and that is parallel to the line with the equation −9/4x+3y=18

Algebra ->  Linear-equations -> SOLUTION: Find the equation for the line that passes through the point (2,0), and that is parallel to the line with the equation −9/4x+3y=18      Log On


   



Question 1095740: Find the equation for the line that passes through the point (2,0), and that is parallel to the line with the equation −9/4x+3y=18
Found 2 solutions by greenestamps, Edwin McCravy:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!

Every equation with a graph parallel to the graph of
%289%2F4%29x%2B3y+=+18
will be of the form
%289%2F4%29x%2B3y+=+c
where c is some constant.

To find the equation of the line that is parallel to the given line and passes through a given point, simply substitute the x and y values of the given point in the general form to find the value of c. For the point (x,y) = (2,0)...
%289%2F4%29%282%29%2B3%280%29+=+9%2F2%2B0+=+9%2F2
so the equation is
%289%2F4%29x%2B3y+=+9%2F2


REVISED SOLUTION: (I overlooked the negative sign on the x term in the given equation....)

Use the same process described above, with the corrected coefficient on the x term.

%28-9%2F4%29%282%29%2B3+=+-9%2F2%2B0+=+-9%2F2
so the equation is
%28-9%2F4%29x%2B3y+=+-9%2F2

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
The variable terms are all the same in equations 
of parallel lines.   Only the constant terms are
different.                       

So the easy way is to take the equation 

expr%28-9%2F4%29x%2B3y=18

Clear of fractions by multiplying all terms by -4:

9x-12y=-72

Divide through by 3

3x-4y=-24

Take away the constant term -24

3x-4y=%22%3F%3F%3F%22

Substitute the given point (2,0)
 
3%282%29-4%280%29=%22%3F%3F%3F%22

6-0=%22%3F%3F%3F%22

6=6

So put 6 for the ???

3x-4y=6

Edwin