Write the slope-intercept form of the equation of the line perpendicular to the graph of y=-3/2x-7 that passes through (3,-2)

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11-11-2016
Mathematics

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Write the slope-intercept form of the equation of the line perpendicular to the graph of y=-3/2x-7 that passes through (3,-2)

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18-11-2016

graph of y = -3/2x - 7 has a slope of -3/2.
For perpendicular lines the product of the slopes is -1.
m1m2 = -1
-3/2m2 = -1
m2 = -1/(-3/2) = 2/3

The required equation,
y - (-2) = 2/3(x - 3)
y + 2 = 2/3x - 2
y = 2/3x - 4

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