Answer:
Step-by-step explanation:
step 1
Find the slope of the given line
we have
This is the equation of the line in slope intercept form
The slope is
step 2
Find the slope of the line perpendicular to the given line
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
we have
----> slope of the given line
therefore
The opposite reciprocal is
step 3
Find the equation of the line in point slope form
we have
substitute
Convert to slope intercept form
see the attached figure to better understand the problem