Find the slope of the line passing through the points (–2, 6) and (6,-10).
Given (x1,y1) and (x2,y2)
slope = (y2 -y1) / (x2-x1)
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To find the slope of a line passing through two points, you can use the formula:
m = (y2 - y1) / (x2 - x1)
Where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, the coordinates of the two points are:
Point 1: (-2, 6)
Point 2: (6, -10)
Substituting these values into the formula, we have:
m = (-10 - 6) / (6 - (-2))
Simplifying this expression, we get:
m = (-10 - 6) / (6 + 2)
m = -16 / 8
m = -2
Therefore, the slope of the line passing through the points (-2, 6) and (6, -10) is -2.