SOLUTION: Find an equation in slope-intercept form for the line with x-intercept -2/3 and perpendicular to 2x-y=4.

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Question 520570: Find an equation in slope-intercept form for the line with x-intercept -2/3 and perpendicular to 2x-y=4.
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Find an equation in slope-intercept form for the line with x-intercept -2/3 and perpendicular to 2x-y=4.
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Find the slope of the given line:
y = 2x-4
slope = 2
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Any line perpendicular to it must have slope = -1/2
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Form of the equation: y = mx + b
Solve for "b":
0 = (-1/2)(-2/3) + b
0 = (1/3) + b
b = -1/3
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Equation:
y = (-1/2)x -(1/3)
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Cheers,
Stan H.
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