Question 1049391
2x +3y = 7
:
3y = -2x + 7
:
1) y = -2x/3 + 7/3
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The line perpendicular to line 1) has a slope = the negative reciprocal of line 1)'s slope
:
slope(m) of line 1) = -2/3
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therefore the slope of the perpendicular line is -(-3/2) = (3/2)
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so far we have
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y = 3x/2 + b, where b is the y intercept
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use the given point (-3, 5)
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5 = 3(-3)/2 + b
:
5 = -9/2 + b
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b = (10/2) + (9/2) = 9.5
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y = 3x/2 +9.5 is equivalent to
:
2y -3x = 19
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