Question

what is the perpendicular line for (4,11) and (-2,1)

Answer 1

Find the slope, m

Then, slope of the perpendicular line will be -1/m

So equation of perpendicular line to these two points will be y=-x/m + b.

To get b, use either of these two point, say <4,11> and plug into this equation:
11=-4/m + b.

That's it!

Answer 2

There is an infinite number of lines that are perpendicular to the line that passes through (4, 11) and (-2, 1). Are you told which point the perpendicular line passes through?