The correct set up to find the slope of a line that passes through the points (6,-3) and (-2,7) is:
(slope) = (change in y) / (change in x)
= (7 - (-3)) / (-2 - 6)
= (7 + 3) / (-8)
= 10 / (-8)
= -5/4
why
The slope of a line can be found using the formula (change in y) / (change in x). In this case, the change in y is given by the difference between the y-coordinates of the two points, which is 7 - (-3) = 10. The change in x is the difference between the x-coordinates, which is -2 - 6 = -8. Therefore, the slope is 10 / -8, which simplifies to -5/4.
