Final answer:
To find the missing value, we plug the given coordinates and slope into the formula for the slope of a line and solve for the missing value of x. The missing value in this case is x = 0.
Step-by-step explanation:
To find the missing value, we need to use the formula for the slope of a line: m = (y2 - y1)/(x2 - x1). Given that (x1, y1) is (-4, -4) and (x2, y2) is (2, 8), we can plug in these values and solve for the missing value of x:
m = (-4 - 8)/(-4 - x) = -3
Simplifying the equation, we get -3 = (-12)/(x + 4). Cross multiplying gives -3(x + 4) = -12, which further simplifies to -3x - 12 = -12. Adding 12 to both sides of the equation gives -3x = 0, and dividing both sides by -3 gives x = 0.
Therefore, the missing value is x = 0.
Learn more about Finding the missing value in a linear equation