What is the correct set up to finding the slope of a line that passes through the points (6, −3) and (−2, 7)?
A. 6-2/-3+7
B. 7-3/-2-6
C. 6-(-3)/-2-7
D. 7-(-3)/-2-6
The correct setup to find the slope of a line passing through two points is:
slope = (change in y-coordinates)/(change in x-coordinates)
In this case, the two points are (6, -3) and (-2, 7).
change in y-coordinates = 7 - (-3) = 7 + 3 = 10
change in x-coordinates = -2 - 6 = -8
Therefore, the correct setup would be:
slope = (10)/(-8)
The correct answer is option D: 7 - (-3)/-2 - 6.