Question

Through (-10,2) and perpendicular to the line y-3x=8 in point-slope form

Answer 1

The instructions begin with "Find the equation of the line ... " and should be included in your post.

This new line is perp. to the line y - 3x = 8, or y = 3x + 8.  Slope is 3.
Thus, a line perp to this one would have the slope -1/3.

In point-slope form:  y-2 = (-1/3)(x-[-10]), or    y - 2 = (-1/3)(x+10)   (answer)