8
AssignmentMultiple Select

Exploring Slope

Question 8 • Q1 Mathematics 8

A line passes through the point (0, 1) and has a positive slope. Which of these points could that line NOT pass through? Check all that apply.

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

Explanation

For each point, calculate the slope from (0, 1) using (y − 1)/(x − 0). A line with positive slope must give a result greater than 0. For (−3, 1), the slope is 0, and for (5, −2), it is −3/5, so neither point can lie on the line. The other points give positive slopes.

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