Explanation:
The statement is true. Let's analyze each equation:
1. y = x: This is a linear equation with a slope of 1 and passes through the origin (0, 0). As x increases by 1, y also increases by 1. So, the graph of y = x passes through the origin.
2. y = 3x: This is also a linear equation with a slope of 3. As x increases by 1, y increases by 3. Since the origin (0, 0) satisfies this equation (0 = 3 * 0), the graph of y = 3x passes through the origin.
3. y = -2x: This is another linear equation with a slope of -2. As x increases by 1, y decreases by 2. Similar to the previous equations, the origin (0, 0) satisfies this equation (-2 * 0 = 0), so the graph of y = -2x passes through the origin as well.
In summary, all three equations, y = x, y = 3x, and y = -2x, have graphs that pass through the origin (0, 0).