Final answer:
To find the value of d, we can use the slope-intercept form of a linear equation. Substitute the given values into the equation to solve for the y-intercept, and then substitute the x-coordinate of the second point to find the value of d.
Step-by-step explanation:
To find the value of d, we need to use the slope-intercept form of a linear equation: y = mx + b, where m is the slope and b is the y-intercept.
Given that the slope is -8 and one point on the line is (-5, -10), we can substitute these values into the equation to solve for b:
-10 = -8(-5) + b
-10 = 40 + b
b = -10 - 40
b = -50
So the equation of the line is y = -8x - 50. Now we can substitute the x-coordinate of the second point (-6) into the equation to find the value of d:
d = -8(-6) - 50
d = 48 - 50
d = -2
Therefore, the value of d is -2.