How do you find the slope of a line that is perpendicular to the line #y= x/-5 - 7#?
is the equation of a line with slope
If a line has slope
So a line perpendicular to your line of slope
One way I like to picture this is as follows:
Suppose a line is given in slope-intercept form as
If we reflect that line in the line
If we reflect this new line in the
The total geometric effect of these two reflections is a rotation around the origin by a right angle, that is our new line is perpendicular to the old line.
Next let's rearrange into slope, intercept format. First subtract
Then divide both sides by