# Write the equation of a line, in point-slope form, that is perpendicular to y=3x-5 and passes through the point (9,-2)?

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- MercyLv 74 weeks ago
First, put the equation of the line given into slope-intercept form by solving for y. You get y = 3x-5, so the slope is 3. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is -1/3. Plugging in the point given into the equation y = 1/3x + b and now solve for b

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I'm pretty sure an explanation of WHY this is the answer would almost be more beneficial than the actual answer.