Question 1140963
The general form for the equation of a line is
:
Ax +By +C = 0
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We are given the equation of line T
:
x +2y -1 = 0
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solve this equation for x
:
x = -2y +1
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therefore the x-intercept is (1, 0)  Note y = 0 for x-intercept
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we are given that line R passes through the point (3,3)
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slope of line R = (3 -0)/(3 -1) = 1.5
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we need the y-intercept for line R
:
y = 1.5x +b
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use point (3,3)
:
3 = 1.5(3) +b
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b = 3 -4.5 = -1.5
:
y = 3x/2 -3/2
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multiply both sides of = by 2
:
2y = 3x -3
:
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equation of line R is
:
3x -2y -3 = 0
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