Questions: Find the slope of the line: a) m=1/3 b) m=-3 c) m=3 d) m=-1/3

Find the slope of the line: a) m=1/3 b) m=-3 c) m=3 d) m=-1/3
Transcript text: Find the slope of the line: a) $m=\frac{1}{3}$ b) $m=-3$ c) $m=3$ d) $m=-\frac{1}{3}$
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Solution

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Solution Steps

Step 1: Find two points on the line

Two points that lie on the line are (-6, 0) and (0, -2).

Step 2: Calculate the slope

The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by:

m = (y₂ - y₁) / (x₂ - x₁)

Using the points (-6, 0) and (0, -2), we have:

m = (-2 - 0) / (0 - (-6)) m = -2 / 6 m = -1/3

Final Answer:

The slope of the line is $m = -\frac{1}{3}$. So the correct answer is (d).

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