Which equation represents the line that passes through points (0, 6) and (2, 0)?

To find the equation of the line that passes through the points (0, 6) and (2, 0), we first need to calculate the slope \( m \) of the line using the formula:

\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Here, \( (x_1, y_1) = (0, 6) \) and \( (x_2, y_2) = (2, 0) \).

Calculating the slope:

\[ m = \frac{0 - 6}{2 - 0} = \frac{-6}{2} = -3 \]

Now that we have the slope, \( m = -3 \), we can use the point-slope form of the equation of a line, which is:

\[ y - y_1 = m(x - x_1) \]

Using point (0, 6):

\[ y - 6 = -3(x - 0) \]

Simplifying this equation:

\[ y - 6 = -3x \] \[ y = -3x + 6 \]

So, the equation of the line that passes through the points (0, 6) and (2, 0) is:

\[ y = -3x + 6 \]

Thus, the correct choice is:

y = negative 3 x + 6.