(0,4) (1,2) (2,0) (3,-2) are all on the line 2x + y = 4
True
For the given points to lie on the line, the ordered pairs should satisfy the equation of the line.
Putting (0, 4) in the equation 2x + y = 4 =>
(2x0) + 4 = 4
The equation holds. Hence, the point is on the line
Putting (1, 2) in the equation 2x + y = 4 =>
(2x1) + 2 = 4
The equation holds. Hence, the point is on the line
Putting (2, 0) in the equation 2x + y = 4 =>
(2x2) + 0 = 4
The equation holds. Hence, the point is on the line
Putting (3, -2) in the equation 2x + y = 4 =>
(2x3) + (-2) = 4
The equation holds. Hence, the point is on the line
Hence, all the given points lie on the line 2x + y = 4