Question

given the equation y-3=3x determine whether the points (1,0) and (-2,-3) are a solution on the graph?

Answer 1

if y=0 and x=1 then for the first point
-3=3, so no, they are not solutions on the graph.

Answer 2

You determine if points are a solution by plugging in the x and y values into the equation.

(1,0):
0-3 = 3(1)
-3 = 3 -> NOPE

(-2,-2):
-3-3 = 3(-2)
-6 = -6 -> YES