Explanation:
the slope is the ratio "y coordinate difference / x coordinate difference".
so,
(2 - 6) / (x - 2) = 4/7
-4 / (x - 2) = 4/7
-1 / (x - 2) = 1/7
-1 / (x - 2) = 1 / -(x - 2) = 1/7
-(x - 2) = 7
-x + 2 = 7
-x = 5
x = -5
so, the point is (-5, 2)