Question

Which proportion can be used to show that the slope of AC is equal to the slope of DF?

A. (6 - (-3)) : (-7 - (-3)) : (-3 - (-9)) : (5 - 13)

B. (6 - 3) : (-7 - (-3)) : (-3 - (-9)) : (5 - 13)

C. (6 - (-3)) : (-7 - 3) : (-3 - 9) : (5 - 13)

D. (6 - 3) : (-7 - 3) : (-3 - 9) : (5 - 13)

Answer 1

The proportion that can be used to show that the slope of AC is equal to the slope of DF is option D: (6 - 3) : (-7 - 3) : (-3 - 9) : (5 - 13). The slope can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line. By choosing appropriate points on the lines AC and DF, we can calculate their slopes and determine if they are equal.

Step-by-step explanation:

The proportion that can be used to show that the slope of AC is equal to the slope of DF is option D: (6 - 3) : (-7 - 3) : (-3 - 9) : (5 - 13).

The slope of a line can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

In this case, we can choose points A(6, -7) and C(-3, -3) to calculate the slope of line AC, and points D(-3, 5) and F(-9, 13) to calculate the slope of line DF. By substituting the values into the formula, we find that the slopes of both lines are equal.