Write an equation in slope-intercept line form form for the line perpendicular to 2x-3y=12 that passes through the point (8,5)

Question

Write an equation in slope-intercept line form form for the line perpendicular to 2x-3y=12 that passes through the point (8,5)

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Maria 1 week 2021-10-12T12:13:41+00:00 1 Answer 0

Answers ( )

  1. Charlotte
    0
    2021-10-12T12:15:24+00:00

    Answer:

    3x+2y=34

    Step-by-step explanation:

    L1: 2x-3y=12 => the slope m1=-2/(-3)=2/3

    L2 perpendicular to L1 => m2= -1/m1=  -3/2

    the point A(8,5) ∈ L2

    => y–yA=m2(x–xA)

    L2: y-5=-3/2 *(x-8)

    L2: 2y-10=-3x+24

    L2: 3x+2y=34

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45:7+7-4:2-5:5*4+35:2 =? ( )