68424
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Slope of a Line

Question 68424 • CUSD Math 01 A (5.0)

A line passes through the point (0, –1) and has a positive slope. Which of these points could that line pass through? Check all that apply.(12, 3)(–2, –5)(–3, 1)(1, 15)(5, –2)

Answer
A
(12, 3)
B
(–2, –5)
C
(–3, 1)
D
(1, 15)
E
(5, –2)

Explanation

For a point (x, y) to lie on a line through (0, −1), the slope is (y − (−1))/x = (y + 1)/x. The slopes to (12, 3), (−2, −5), and (1, 15) are 4/12, (−4)/(−2), and 16/1, respectively, so they are positive. The slopes to (−3, 1) and (5, −2) are negative, so those points do not qualify.

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