Final answer:
The function y = -3x + 7 has an x-intercept and a positive y-intercept, and it is decreasing. Therefore, the true statement is B) The function is decreasing.
Step-by-step explanation:
The question asks which statement about the function y = -3x + 7 is true. To find the x-intercept, we can set y to 0 and solve for x, which yields an x-intercept of (7/3, 0). This disproves statement A. Looking at the equation, the coefficient of x, which is -3, is negative. This means that as x increases, y decreases, so the function is indeed decreasing, which makes statement B true. The y-intercept is the point at which the line crosses the y-axis, which happens when x is 0. Plugging in 0 for x, we get y = 7, which is a positive y-intercept, thus statement C is false.