What is the equation of the line that passes through (-1,4) and is perpendicular to the line that passes through the following points: (-2,2),(5,-6) ?
1 Answer
Mar 11, 2016
Explanation:
The slope m, of the line passing through
Thus the slope of the line passing through
Now if the slope of two lines which are perpendicular to each other are m and m', we have the relationship
So, in our problem, the slope, m2, of the first line =
=
Let the equation of the line be
Here,
So the equation is
It passes through the points,
Substituting the x and y values,
or
So the equation is
or