Question

Find the equation of the line parallel to 5x-2y=2 that passes through point (-4,-3)

Answer 1

A very quick way of solving this problem is to recognize and use the fact that a line parallel to 5x-2y=2 has an equation which is exactly the same as 5x-2y=2 except for the constant.

Replace that 2 (on the right side of the equation) with C, and x with -4, and y with -3:

5(-4)-2(-3)=C

and find C.  C = -20 + 6 = -14.

Therefore, the equation of the line parallel to 5x-2y=2 passing thru the point (-4, -3) is 5x-2y= -14.  Notice how only the constant changes.