To find the slope of a line segment between two points (x1, y1) and (x2, y2), we can use the formula:
slope = (y2 - y1) / (x2 - x1)
Let's calculate the slope of side JK first, using the coordinates of points J(2.5, 3) and K(3.2, -4.7):
slope_JK = (-4.7 - 3) / (3.2 - 2.5)
slope_JK = (-7.7) / (0.7)
slope_JK ≈ -11
Now, let's calculate the slope of side KL, using the coordinates of points K(3.2, -4.7) and L(-6.9, 3):
slope_KL = (3 - (-4.7)) / (-6.9 - 3.2)
slope_KL = (7.7) / (-10.1)
slope_KL ≈ -0.76
Therefore, the slope of side JK is approximately -11, and the slope of side KL is approximately -0.76.
The options provided are:
A. undefined
B. -11
C. -0.76
D. 0
Based on the calculations, the correct answer would be:
B. -11