Final answer:
None of the provided options are correct because the equation of the line with a point (-4, -9) and a slope of 1/2 is y = x/2 - 7, which differs from all given choices.
Step-by-step explanation:
The student is asking to find the equation of a line that passes through the point (-4, -9) with a slope of 1/2. To do this, we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. Plugging in (-4, -9) for (x1, y1) and 1/2 for m, we get y - (-9) = 1/2(x - (-4)). Simplifying, this becomes y + 9 = 1/2x + 2, and then rearranging to solve for y, we have y = 1/2x - 7.
Therefore, the correct equation is y = x/2 - 7, which is similar to option A except for the division symbol. In this case, none of the provided options A, B, C, or D is correct, as they do not indicate the slope as 1/2.