Problem 19: Identify the slope of the line that passes through the given points.
(5, 2) and (-4, 6)
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To find the slope of the line passing through these two points, we can use the formula:
m = (y2 - y1) / (x2 - x1)
Here, (x1, y1) = (5, 2) and (x2, y2) = (-4, 6).
Plugging in the values:
m = (6 - 2) / (-4 - 5)
m = 4 / -9
m = -4/9
Therefore, the slope of the line passing through the points (5, 2) and (-4, 6) is -4/9.