You can put this solution on YOUR website!
First step is to find the required slope value. Perpendicular lines have slopes that are negative reciprocals of each other:
The equation of the perpendicular is
. Put this into slope-intercept form,
, by solving for y.
, which tells us that the slope of the perpendicular to the desired line is
, we now know that the slope of the desired line is
Now we have a point, (5,-3) and a slope,
, so use the point slope form of the line:
where m is the slope and (
) are the coordinates of the given point.
Now simplify to standard form:
Multiply by 2
Add -7x to both sides
Add -6 to both sides:
is the desired equation, though it would be a little tidier to multiply through by -1:
Hope this helps,