Question 893584
{{{y-2x+8=0}}} the given line.
{{{y=2x-8}}}, given line in slope-intercept form.
Slope is 2.


The slope for a line perpendicular to the given line will be {{{highlight_green(-(1/2))}}}.
The slopes of two perpendicular lines will be negative reciprocals.
{{{2(-1/2)=-1}}}


Formula for slope using the two points of the line perpendicular to the given line:
{{{m=(a-2)/(3-1)}}}
{{{-(1/2)=(a-2)/(3-1)}}}
{{{-(1/2)=(a-2)/2}}}
{{{-1=a-2}}}
{{{a=-1+2}}}
{{{highlight(a=3/2)}}}