The false statement is: The slope of the spoke is -1/2.
The slope of the spoke connecting the center of the wheel at (-3, -2) to a point on the rim at (-7, 1) is not -1/2. To find the slope, we can use the formula:
Slope = (y2 - y1) / (x2 - x1)
Slope = (1 - (-2)) / (-7 - (-3))
Slope = 3 / (-4)
Slope = -3/4
Therefore, the correct slope of the spoke is -3/4, not -1/2.
A bicycle wheel is modeled by a circle on the coordinate plane. The center of the wheel is at the point (−3, −2), and a spoke connects the center to a point on the rim of the wheel at (−7, 1).
Which statement about the circle and the spoke is false?
The equation of the circle is (x + 3)² + (y + 2)² = 25.
The point (0, 0) lies inside the circle.
The diameter of the circle is 10 units.
The slope of the spoke is −1/2
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