Final answer:
To find the slope of each side of the triangle, we can use the formula: slope = (change in y)/(change in x). Side AB has a slope of 3.81, side BC has a slope of -0.586, and side CA has a slope of 0.0176.
Step-by-step explanation:
To find the slope of each side of the triangle, we can use the formula: slope = (change in y)/(change in x).
a) For side AB with a slope of 2/3, we can take the two points A(0,0.1) and B(7,26.8). The change in y is 26.8 - 0.1 = 26.7, and the change in x is 7 - 0 = 7. So the slope of side AB is (26.7)/(7) = 3.81.
b) For side BC with a slope of -1, we can take the two points B(7,26.8) and C(51,1). The change in y is 1 - 26.8 = -25.8, and the change in x is 51 - 7 = 44. So the slope of side BC is (-25.8)/(44) = -0.586.
c) For side CA with a slope of -3/2, we can take the two points C(51,1) and A(0,0.1). The change in y is 0.1 - 1 = -0.9, and the change in x is 0 - 51 = -51. So the slope of side CA is (-0.9)/(-51) = 0.0176.