Question

If a linear equation has solutions (-3, 3), (0, 0), and (3, -3), then it is of the form:

A. y = -x
B. y = x
C. y = -2x
D. y = 2x

Answer 1

The linear equation that passes through the points (-3, 3), (0, 0), and (3, -3) is y = -x.

Step-by-step explanation:

The linear equation that passes through the points (-3, 3), (0, 0), and (3, -3) is of the form y = -x.

To determine the equation, we can use the two-point form for a linear equation, which is given by y - y1 = m(x - x1). Substituting the values (-3, 3) for (x1, y1) and (0, 0) for (x, y), we get y - 3 = -1(x + 3). Simplifying further gives us y - 3 = -x - 3. Rearranging the equation, we have y = -x, which is the equation in the form mentioned.