How do you write the equation that represents the line perpendicular to #y=-3x +4# and passing through the point (-1,1)?
2 Answers
Explanation:
Step 1) Because this is already solved for
Therefore the slope of the perpendicular line is
Step 2) Use the point slope for to find the perpendicular equation:
Explanation:
Any linear equation of the form
has a slope of
Any line perpendicular to a line with slope
has a slope
A line with slope
can be written in slope-point form as:
Therefore the line perpendicular to
can be written as:
While this is a perfectly valid answer to the given question, we would normally convert this into standard form as:
or slope-vertex form (as was the initial equation):