What is the equation of the line perpendicular to #y=9/20x # that passes through # (-1,-5) #?
Find the negative reciprocal of the slope of our given equation,
Keep in mind that the slope of any line is defined as the negative reciprocal of the slope of the line that it is perpendicular to.
The negative reciprocal of
This perpendicular line also lies on the point (-1, -5). With the coordinates of this point and the slope we previously found, we can construct our answer in point slope form:
In our case, m =
Now all we must do is to simply plug in our values:
If the question requires an equation in slope-intercept form, simply subtract 5 from both sides and simplify!