Question

The graph of the equation y = —3x + 1 is shown below.

Based on the given information, which of the following
statements are correct? Select all that apply.

Since it lies on the graph of the line, the point (a, b) is a solution to the equation y = −3x + 1.
Since it does not lie on the graph of the line, the point (c, d) is not a solution of the equation y = −3x + 1.
Since a = c, both points (a, b) and (c, d) are solutions to the equation y = −3x + 1.
The point (3/2, - 7/2) lies on the graph of the line that represents the equation y = -3x + 1
The graph of the line represents all the solutions to the equation y = -3x + 1

Answer 1

Correct statements:

1. Since it lies on the graph of the line, the point (a, b) is a solution to the equation y = −3x + 1.
4. The point (3/2, - 7/2) lies on the graph of the line that represents the equation y = -3x + 1
5. The graph of the line represents all the solutions to the equation y = -3x + 1

Incorrect statement:

2. Since it does not lie on the graph of the line, the point (c, d) is not a solution of the equation y = −3x + 1. - This statement cannot be determined solely based on the graph. The point (c, d) may or may not be a solution depending on its coordinates.
3. Since a = c, both points (a, b) and (c, d) are solutions to the equation y = −3x + 1. - This statement is incorrect because a = c does not guarantee that both points are solutions to the equation.