You can put this solution on YOUR website! We substitute in for x and y and see if we have a true statement...like this...
y = -4x + 3
12 = -4(5) + 3
12 = -20 + 3
12 = -17
12 does not equal -17 so it is NOT a solution.
when x = 5, y = -4x + 3 becomes y = -4*5 + 3 which becomes y = -20 + 3 which becomes y = -17.
when y = 12, y = -4x + 3 becomes 12 = -4x + 3.
subtract 3 from both sides of this equation to get 9 = -4x
divide both sides of this equation by -4 to get x = -9/4.
(5,12) is not a solution to the equation of y = -4x + 3.