A line is perpendicular to y = -x - 2
and intersects the point (-5,10).
What is the equation of this
perpendicular line?

The equation of the perpendicular line will be:  

Step-by-step explanation:

Given the equation of line

comparing with slope-intercept form

so

The slope of the line is -1.

i.e.

As we know that perpendicular lines do have negative-reciprocal slopes.

so the slope of the line we need to find is 1.

i.e.

Plugging in the point (-5, 10) given into the equation

So the equation of this  perpendicular line will be

Therefore, the equation of the perpendicular line will be: