What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4)?

Question

i dont know how to do this one

Answer 1

The equation is given in Standard Format (Ax+By=C).

 

You may convert Standard Format to slope-intercept format (y=mx+b where m is the slope and b is the y-intercept) because parallel lines have the same slope.  Or, you may realize that the slope is (-A/B).  That means that the parallel line has the equation:

       5x + 2y = D    and we need a point to determine D  [the problem gives us (-2,4) ].

 

  5(-2) + 2(4) = D

   -10 + 8 = D

       -2 = D

 

The equation of the parallel line, in Standard Form, is:    5x + 2y = -2