Question 999342
Perpendicular lines have slopes that are negative reciprocals.
Change to slope-intercept form to get the slope of the given line.
{{{2x-y-7=0}}}
{{{y=2x-7}}}
So the slope of the given line is {{{m=2}}}.
Then find the slope of the perpendicular line,
{{{m[1]*m[2]=-1}}}
{{{2*m[2]=-1}}}
{{{m[2]=-1/2}}}
Then use the point-slope form of a line,
{{{y-(-1)=-(1/2)(x-4)}}}
{{{y+1=-(1/2)x+2}}}
{{{y=-(1/2)x+1}}}
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*[illustration vx8.JPG].