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\( 1 \leftarrow \) Points: 0 of 1 Compute the slopes of the line segments determined by the given pairs of points. In each case, tell whether the segrough (c) below. (a) \( P(4,3), Q(8,19) \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope of the line segment determined by the given points is to the right, or slopes downward to the right. Complete parts (a) B. The slope of the line segment determined by the given points is undefined.

Ask by Reed Harris. in the United States
Mar 14,2025

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Answer

The slope of the line segment between \( P(4,3) \) and \( Q(8,19) \) is 4.

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To compute the slope of the line segment determined by the points \( P(4,3) \) and \( Q(8,19) \), use the slope formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] In this case, \( (x_1, y_1) = (4, 3) \) and \( (x_2, y_2) = (8, 19) \). Plugging in these values, we get: \[ m = \frac{19 - 3}{8 - 4} = \frac{16}{4} = 4 \] Since the slope is positive (4), it indicates the line segment rises as it moves from left to right. A. The slope of the line segment determined by the given points is to the right, or slopes upward to the right.

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