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18 January, 19:40

Write an equation for the line that has a y-intercept of 2 and is perpendicular to the line 3x + y = 6.

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  1. 18 January, 20:08
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    The equation of the line would be y = 1/3x + 2

    Step-by-step explanation:

    To find this, we must first solve the original equation for y.

    3x + y = 6

    y = - 3x + 6

    This means the original slope is - 3. Since the original slope is - 3, we know that the perpendicular slope is 1/3. This is because perpendicular slopes are opposite and reciprocal.

    Now we use the slope and the intercept in slope-intercept form to get the equation.

    y = mx + b

    y = 1/3x + 2
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