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How do I solve a slope equation for Y?

Example:
2/3y = - 1/5x

  • Math -

    (2/3)y = (-1/5)x
    to get the slope, we first transform this equation into slope-intercept form,
    y = mx + b
    where m = slope and b = y-intercept.
    note that the numerical coefficient of y (number before the variable y) in slope-intercept form is 1, thus to change the given equation, we multiply both sides by 3/2:
    (3/2)*(2/3)y = (3/2)*(-1/5)x
    y = -(3/10)x
    therefore,
    slope = -3/10

    hope this helps~ :)

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