The lines 8x+6=2y and 3x=ky-10 are parallel. Find the value of k. Please help ASAP. Explain each steps please

Question

The lines 8x+6=2y and 3x=ky-10 are parallel. Find the value of k.

Please help ASAP. Explain each steps please

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Gerda 5 years 2021-08-18T03:33:15+00:00 1 Answers 69 views 0

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  1. Amity
    0
    2021-08-18T03:34:45+00:00
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    Answer:

    k=3/4

    Step-by-step explanation:

    So parallel lines have equal slopes but different y-intercepts

    First line is y=4x+3 (divide by 2 and simplify) and second line is y=\frac{3x+10}{k}

    We only care about slope, so

    First slope is 4 and the second slope is (3/k), so

    4=3/k, find k using cross multiplication

    4k=3, so k=3/4

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