find the distance between p and l

Question

line l contains points (-2,0) and (4,8). point p has coordinates (5,1)

Answer 1

Short answer: go to https://en.wikipedia.org/wiki/Distance_from_a_point_to_a_line#Line_defined_by_two_points

 

In your case, (x0, y0) = (5,1), (x1, y1) = (-2, 0), and (x2, y2) = (4,8). When I plugged in the numbers, I got 0.6 (you should double-check that to make sure).