Through (4, − 9); parallel to the line 5x + 9y = 4

Question

i just need it in standard form for example

Answer 1

The problem statement gives the equation of a line in Standard Format (Ax+By=C): 5x+9y=4.

 

You may, if you desire, convert this into slope-intercept form and remember that the parallel lines have the same slope, but a different y-intercept (y=mx+b), then convert it back into Standard Format to get an equation that looks like:

     5x+9y=C      [where we need a point, like (4,-9), to find C]

 

     5(4)+9(-9)=C

      20 - 81 = C

         -61 = C

 

The equation of the parallel line, in Standard Format, is 5x + 9y = -61