Answer:
[tex]y-3=\frac{1}{3}(x+1)[/tex]
Step-by-step explanation:
The slope of a perpendicular line is the negative reciprocal of the original slope. Here, it's -3 and 1/3. Another example would be 2 and -1/2.
Next, point slope form is:
[tex](y-y_1)=m(x-x_1)[/tex]
where m is the slope and (x1, y1) is any point on the line.
We're given that point, and we've found the slope above, so the equation is:
[tex]y-3=\frac{1}{3}(x+1)[/tex]