59. Triangle △ABC has vertices A(8,2), B(0,6), and C(-3,2). Point C can be moved along a certain line, with points A and B remaining stationary, and the area of △ABC will not change. What is the slope of that line?

Answer and Explanation

Your Answer is

Correct Answer is A

Explanation

From the meaning of the title, when C moves this line, the area of ​​the triangle will not change. So this line is parallel to the line AB and has the same slope. From the coordinates of A and B, we can see that the slope is -1/2.