Plug the point (10,-2) into y = -2x + 16 and solve. If the equation is a true, then yes, it is a point on the equation.
y = -2x + 16 > -2 = -2(10) + 16
Now, solve.
-2 = -2(10) + 16 > -2 = -20 + 16 - Start by multiplying out parenthesis.
-2 = -20 + 16 > -2 = -4 - Add.
-2 = -4
The equation cannot be simplified any further. Since -2 is not equal to -4, we can conclude that no, (10,-2) is not a solution to the equation y = -2x + 16.