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write the slope intercept equation for the line that passes through (-8,11) and is perpendicular t 2x -7y=14

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Luanaidn
[tex]General\ formula:\\y=ax+b\\\\2x-7y=14\\-7y=14-2x\\y=\frac{2}{7}x-2\\\\Line\ is\ perpendicular when\ a=-\frac{7}{2}\\y=-\frac{7}{2}x+b\\\\Passes\ through\ (-8,11):\\11=(-\frac{7}{2})*(-8)}+b\\11-28=b\\b=-17\\\\y=\frac{7}{2}-17[/tex]
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