Question

Example: y = -2x and y=x+3

1) Does the point (0, 4) make either equation true? Substitute it in and find out.
2) Does the point (2, 5) make either equation true? Explain.
3) Does the point (-1, 2) make either equation true? Explain.

Answer 1

The point (0, 4) does not satisfy y = -2x, while the points (2, 5) and (-1, 2) satisfy y = x + 3.

Step-by-step explanation:

1) To check if the point (0, 4) satisfies the equation y = -2x, we substitute the values of x and y into the equation. In this case, when x = 0 and y = 4, we have 4 = -2(0), which simplifies to 4 = 0. Since this is not true, the point (0, 4) does not make the equation y = -2x true.

2) For the equation y = x + 3, we substitute the values of x and y in the point (2, 5). When x = 2 and y = 5, we get 5 = 2 + 3, which simplifies to 5 = 5. Since this equation is true, the point (2, 5) satisfies the equation y = x + 3.

3) Similarly, for the equation y = x + 3, we substitute the values of x and y in the point (-1, 2). When x = -1 and y = 2, we have 2 = -1 + 3, which simplifies to 2 = 2. Since this equation is true, the point (-1, 2) also satisfies the equation y = x + 3.

Learn more about The truth of equations with given points