Final answer:
To find the value of d for the line with points (0,5) and (8,d) and a slope of -1/8, we use the slope formula and get d = 4.
Step-by-step explanation:
The student is asking to determine the value of d for a line that passes through the points (0,5) and (8,d) with a slope of -1/8. When dealing with a line with a known slope and points, we can use the formula for slope, which is (change in y)/(change in x). The question mentions that the line has a slope of – 1/8, and since it passes through (0,5), the intercept is 5.
Using the two points, (0,5) and (8,d), we can set up the equation as follows:
(d - 5) / (8 - 0) = -1/8
Multiplying both sides by 8 to solve for d:
d - 5 = -1
Adding 5 to both sides gives us:
d = 4
Therefore, the value of d is 4.