Question

Ating a Line with a Positive Slope

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 1

A, B, D

Explanation:

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Answer 2

The points (12,3), (-2,-5) and (1,15) through which the line can pass.

Explanation:

A line passes through the point (0, –1) and has a positive slope.

(i) The slope of the line passing through the points (0,-1) and (12,3) will be

`(- 1 - 3)/(0 - 12) = (1)/(3) > 0`

(ii) The slope of the line passing through the points (0,-1) and (-2,-5) will be

`(- 1 + 5)/(0 + 2) = 2 > 0`

(iii) The slope of the line passing through the points (0,-1) and (- 3,1) will be

`(- 1 - 1)/(0 + 3) = - (2)/(3) < 0`

(iv) The slope of the line passing through the points (0,-1) and (1,15) will be

`(- 1 - 15)/(0 - 1) = 16 > 0`

(v) The slope of the line passing through the points (0,-1) and (5,-2) will be

`(- 1 + 2)/(0 - 5) = - (1)/(5) < 0`

Therefore, the points (12,3), (-2,-5) and (1,15) through which the line can pass. (Answer)