Final answer:
The slope of a line passing through points J(6,1) and K(-3,8) is calculated using the formula for slope, resulting in a slope of -7/9.
Step-by-step explanation:
The question asks about finding the slope of a line passing through two given points, J(6,1) and K(-3,8). To find the slope, we use the following formula:
Slope (m) = (Change in y) / (Change in x) = (y2 - y1) / (x2 - x1)
Where (x1, y1) and (x2, y2) are the coordinates of two points on the line. For points J(6,1) and K(-3,8), the coordinates x1=6, y1=1, x2=-3, and y2=8.
Therefore, the slope m is calculated as follows:
m = (8 - 1) / (-3 - 6) = 7 / (-9) = -7/9
So, the correct answer is c. -7/9.