Question 1195873
<br>
The slope of the given line is -1/8; the slope of any line perpendicular to that line is the negative reciprocal, 8.<br>
Another tutor then finds the answer using the point-slope form of the equation,<br>
{{{y-y(1)=m(x-x(1))}}}<br>
Another path to the answer that many students might prefer is to use the slope-intercept form of the equation:<br>
{{{y=mx+b}}}
{{{5=8(-2)+b}}}
{{{5=-16+b}}}
{{{21=b}}}<br>
ANSWER: {{{y=8x+21}}}