Final answer:
The value of v is found to be 14 by using the slope formula and substituting the given values. This result indicates that the proper response to the question is Detailed calculations are needed to answer, as the value 14 is not listed in the provided choices.
Step-by-step explanation:
The student is asking to find the value of v for a line with a slope of –5 that passes through the points (8, v) and (7, 9). To find the value of v, we can use the formula for the slope of a line between two points (x1, y1) and (x2, y2), which is (y2−y1)/(x2−x1). Here, x1=8, y1=v, x2=7, and y2=9. Applying the values:
Slope = (9 – v) / (7 – 8) = –5
–5 = (9 – v) / –1
v – 9 = 5
v = 5 + 9
v = 14
So, the value of v is 14, which is not among the provided options (B, C, D). As such, the correct answer is A) Detailed calculations are needed to answer, which have been provided above. This also suggests that there might be a typo in the question or answer choices provided by the student.