Question 829520
If the lines are perpendicular,....


First, you can put the given equation into slope-intercept.
{{{-4y=-2x+7}}}
{{{y=(1/2)x-7/2}}}
And you want a perpendicular line, slope of -2.


{{{y=(-2)x+b}}} and you find b solving the equation for b, and putting in the given point to be contained:
b=y-mx
b=y+2x
b=-2+2*1
b=0


You line to be found:  {{{highlight(y=-2x)}}}