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29 August, 11:18

Passing through (-1, - 7) and perpendicular to the line with equation 4x + 5y = 31

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  1. 29 August, 13:14
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    4x + 5y = 31

    5y = - 4x + 31

    y = - 4/5x + 31/5 ... the slope here is - 4/5. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So the slope we need is 5/4 (see how I flipped the slope and changed the sign)

    y = mx + b

    slope (m) = 5/4

    (-1,-7) ... x = - 1 and y = - 7

    now we sub and find b, the y int

    -7 = 5/4 (-1) + b

    -7 = - 5/4 + b

    -7 + 5/4 = b

    -28/4 + 5/4 = b

    - 23/4 = b

    so ur perpendicular line will be : y = 5/4x - 23/4
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