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Algebra

Write a​ slope-intercept equation for a line passing through the point (4,−2) that is parallel to the line 4x+7y=8. Then write a second equation for a line passing through the point (4,−2) that is perpendicular to the line 4x+7y=8.

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  1. 7y = -4 x + 8
    y = -(4/7) x + /7
    so m = -4/7
    y = -(4/7)x + b
    -2 = -(4/7)(4) + b
    -14/7 + 16/7 = b
    b = 2/7
    so
    y = -(4/7)x + 2/7
    7y = -4x + 2

    for the second one
    m = -(-7/4) = 7/4
    so
    y = (7/4) x + b
    now put x = 4 and y = 2 in again to find b

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