Points a and b both on line y=3x+7 work out the missing y coordinate for a and the missing x coordinate for b

Question

Points a and b both on line y=3x+7 work out the missing y coordinate for a and the missing x coordinate for b

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Jezebel 1 year 2021-09-02T09:19:55+00:00 1 Answers 1 views 0

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    2021-09-02T09:21:16+00:00

    Answer:

    Missing [tex]y[/tex] coordinate for [tex]a[/tex] is [tex]3x+7[/tex]

    Missing [tex]x[/tex] coordinate for [tex]b[/tex] is [tex]\frac{b-7}{3}[/tex]

    Step-by-step explanation:

    Given: Equation of a line is [tex]y=3x+7[/tex]

    To find: missing [tex]y[/tex] coordinate for [tex]a[/tex] and the missing [tex]x[/tex] coordinate for [tex]b[/tex]

    Solution:

    First find missing [tex]y[/tex] coordinate for [tex]a[/tex]

    Put [tex]x=a[/tex] in [tex]y=3x+7[/tex]

    [tex]y=3(a)+7=3a+7[/tex]

    Now find the missing [tex]x[/tex] coordinate for [tex]b[/tex]

    Put [tex]y=b[/tex] in [tex]y=3x+7[/tex]

    [tex]b=3x+7\\3x=b-7\\\\x=\frac{b-7}{3}[/tex]

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