Question

Input in standard form the equation of the given line. The line that passes through (-2, 4) and is parallel to x - 2y = 6

Answer 1

`x-2y=6\\ -2y=-x+6\\ y=(1)/(2)x-3\\\\equation\ of\ line\ parallel\ to \given \one \\\\y=ax+b\\\\ If\ line\ is\ parallel\ a=(1)/(2)\\\\y=(1)/(2)x+b\\\\ Substituting\ point\ (-2,4)\\\\ 4=-2*(1)/(2)+b\\4=-1+b\\b=5\\\\ Equation\ of\ line\ y=(1)/(2)x+5\\\\ Standard form:\\ -(1)/(2)x+y=5`