Final answer:
To find the value of d that will align the black point with the blue points, substitute the given values of a, b, and c into the equation of a line. The resulting value of d will be 2.
Step-by-step explanation:
To calculate the value of d that will put the black point precisely on a line through the blue points, we can use the values of a, b, and c. In this case, we have a = 1, b = -2, and c = 4. We can substitute these values into the equation of a line, which is given by y = mx + b, where m is the slope and b is the y-intercept.
Substituting the values, we get d = -b/a = 2/1 = 2. Therefore, the value of d that will put the black point precisely on a line through the blue points is d = 2.