Answer:
Hence (3, -3) is on the given line y = -2x + 3
Step-by-step explanation:
For a point on the Line, It must Satisfy the Equation of a line
Therefore for
For (-2,-1)
Substitute x = - 2 and y = -1 in above equation
Left Hand Side = y
= -1
Right Hand Side = -2 × (-2) +3
= 4 +3
= 7
Left Hand Side ≠ Right Hand Side
Not Satisfied
Hence (-2,-1) is NOT on the given line
For (3, -3)
Substitute x = 3 and y = -3 in above equation
Left Hand Side = y
= -3
Right Hand Side = -2 × (3) +3
= -6 +3
= -3
Left Hand Side = Right Hand Side
Satisfied
Hence (3, -3) is on the given line y = -2x + 3
For (3, 3)
Substitute x = 3 and y = 3 in above equation
Left Hand Side = y
= 3
Right Hand Side = -2 × (3) +3
= -6 +3
= -3
Left Hand Side ≠ Right Hand Side
Not Satisfied
Hence (3,3) is NOT on the given line
For (-3,-9)
Substitute x = -3 and y = -9 in above equation
Left Hand Side = y
= -9
Right Hand Side = -2 × (-3) +3
= 6 +3
= 9
Left Hand Side ≠ Right Hand Side
Not Satisfied
Hence (-3,-9) is NOT on the given line