Question

Select all statements that are true about the linear equation. y=−2x 4y=−2x 4 the graph of the equation is the set of points that are solutions to the equation. the equation 2x y=42x y=4 is represented by the same graph. the graph of the equation is the set of all points on the coordinate plane. the point (1, 2)(1, 2) lies on the the graph of the equation. the point (0, 2)(0, 2) lies on the graph of the equation.

Answer 1

y = -2x + 4

The graph of the equation is the set of points that are solutions to the equation.

The equation 2x + y = 4 is represented by the same graph.

For point (1, 2): 2 = -2(1) + 4 = -2 + 4 = 2.
Therefore, the point (1, 2) lies on the the graph of the equation.

For the point (0, 2): 2 ≠ -2(0) + 4 = 0 + 4 = 4.
Therefore, the point (0, 2) DOES NOT lie on the graph of the equation.