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What is the equation of the line perpendicular to the line y =4/9 x – 2 that passes through the point (4,3)?
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What is the equation of the line perpendicular to the line y =4/9 x – 2 that passes through the point (4,3)?
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Sep 20, 2017
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What is the equation of the line perpendicular to the line y =4/9 x – 2 that passes through the point (4,3)?
Mathematics
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Peter Hull
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Peter Hull
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an815
Helping Hand
line through point (a,b) with slope is given by
y-b=m(x-a)
slope of -9/4 is perpendicular to slope of 4/9, as y=4/9x-2 has slope 4/9. Our point is (4,3) therefore.
y-3=-9/4*(x-4)
y-3=-9/4x+9
y=-9/4x+9+3
y=-9/4x+12
Yonexbat
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Sep 22, 2017
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Line y = 4/9 x - 2 has a slope of 4/9.
For perpendicular lines, the ploduct of the two slopes is -1. Thus the slope of the required line is -1/(4/9) = -9/4
Equation of a line is given by y - y1 = m(x - x1)
y - 3 = -9/4(x - 4)
y - 3 = -9/4 x + 9
y = -9/4 x + 9 + 3
y = -9/4 x + 12.
Maralyn
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Sep 27, 2017
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Maralyn
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