Question 1160030
<br>
The equation of the given line is y=2x-5; its slope is 2.<br>
The slope of a line perpendicular to the given line is the negative reciprocal of 2, which is -1/2.<br>
The equation of the line is of the form y = (-1/2)x+c  for some constant c.  Find the value of c using the coordinates of the given point.<br>
{{{y = (-1/2)x+c}}}
{{{1 = (-1/2)(-2)+c}}}
{{{1 = 1+c}}}
{{{c = 0}}}<br>
The equation of the line is y = (-1/2)x+0, or just y = (-1/2)x.<br>
A graph of the given line (red) and the perpendicular line (green):<br>
{{{graph(400,400,-10,10,-10,10,2x-5,(-1/2)x)}}}<br>