Question

Write an equation of the line passing through the point (−10, 3) that is parallel to the line 5x+2y=12.

Answer 1

Refer to the attachment from Mathematica version 9.

Answer 2

equation of the line parallel to ax+by+c1=0 is
ax+by+ c2=0 (parallel lines varies only constant term means here c1 and k)
for finding k we have a point (-10,3)

Answer 3

equation of the line parallel to 5x+2y=12 is
5x+2y=k--------(1)
which passes through (-10,3)
substitute this point in (1)
5*(-10) +2*3=k
-50+6=k
-44=k
therefore
required equation is
5x+2y=-44