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Find Slope for Line m:
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Two points on the graph: (-4. 3) and (0,-4)
[tex]\text {Slope = } \dfrac{3- (-4)}{-4 - 0} = -\dfrac{7}{4} [/tex]
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Find Slope for Line n:
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Two points on the graph: (1, 2) and (3, -2)
[tex]\text {Slope = } \dfrac{2 - (-2)}{1-3} = -\dfrac{4}{2} = -2[/tex]
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Find Slope for Line k:
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Two points on the graph: ( -3 , -3) (4 , 1)
[tex]\text {Slope = } \dfrac{1 - (-3)}{4 - (-3)} = \dfrac{4}{7} [/tex]
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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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