The slope of the line that passes through the points (−4,6) and (3,−8) is -2.
The slope of the line that passes through two points can be calculated using the slope formula:
m = (y2 - y1) / (x2 - x1)
where:
m is the slope of the line
(x1, y1) and (x2, y2) are the coordinates of the two points
Plugging in the values for the points (−4,6) and (3,−8), we get:
m = (-8 - 6) / (3 - (-4)) = -14 / 7 = -2
Therefore, the slope of the line that passes through the points (−4,6) and (3,−8) is -2.