Question

Use the diagram that awnser the questions.

Is line m parallel to line n? Explain

Is line m perpendicular to line k? Explain

Answer 1

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Find Slope for Line m:
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Two points on the graph: (-4. 3) and (0,-4)


`\text {Slope = } (3- (-4))/(-4 - 0) = -(7)/(4)`

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Find Slope for Line n:
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Two points on the graph: (1, 2) and (3, -2)


`\text {Slope = } (2 - (-2))/(1-3) = -(4)/(2) = -2`

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Find Slope for Line k:
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Two points on the graph: ( -3 , -3) (4 , 1)


`\text {Slope = } (1 - (-3))/(4 - (-3)) = (4)/(7)`

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Answer: Since M and N do not have the same slope, they are not parallel.

Answer: The slope of K is the negative reciprocal of M, therefore they are perpendicular.
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