Answer:
The slope of the secant line that intersects the graph of h(x) = 15 - 2x at x = 3 and x = 7 is -2.
Explanation:
To find the slope of the secant line that intersects the graph of h(x) = 15 - 2x at x = 3 and x = 7, we can use the slope formula for a line passing through two points.
The coordinates of the two points on the graph are:
Point 1: (3, h(3)) = (3, 15 - 2(3)) = (3, 9)
Point 2: (7, h(7)) = (7, 15 - 2(7)) = (7, 1)
Using the slope formula:
slope = (y2 - y1) / (x2 - x1)
Substituting the coordinates of the two points:
slope = (1 - 9) / (7 - 3) = -8 / 4 = -2
Therefore, the slope of the secant line that intersects the graph of h(x) = 15 - 2x at x = 3 and x = 7 is -2.
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