Question

Equation of the line parallel to the equation y = -2x - 7 that passes through the point (3, 1).

Answer 1

$1=-2\cdot3+b\\ 1=-6+b\\ b=7\\\\ y=-2x+7$

Answer 2

$y=-2x-7\\\\equation\ of\ line\ parallel\ to \given \one\\\\y=ax+b\\\\If\ line\ is\ parallel\ a=-2\\\\y=-2x+b\\\\Substituting\ point\ (3,1)\\\\1=-2*3+b\\\\1=-6+b\\\\1+6=b\\\\b=7\\\\Equation\ of\ line\ y=-2x+7$