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anonymous
 5 years ago
Indicate the equation of the given line in standard form.
The line through point (3, 4) and perpendicular to a line that has slope 2/5
anonymous
 5 years ago
Indicate the equation of the given line in standard form. The line through point (3, 4) and perpendicular to a line that has slope 2/5

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Right, you have a point, and you need a gradient so you may then use the pointgradient formula for a straight line. You're told that the line perpendicular to yours has slope \[m_1=\frac{2}{5}\]Two lines are perpendicular if their gradients satisfy the following condition,\[m_1m_2=1\]This means your gradient must be\[m_2=\frac{1}{m_1}=\frac{1}{\frac{2}{5}}=\frac{5}{2}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The pointgradient formula then gives,\[yy_1=m(xx_1)\]which here becomes,\[y4=\frac{5}{2}(x(3)) \rightarrow 2(y4)=5(x+3)\]after multiplying both sides by 2. Expanding and collecting terms, you have\[2y8=5x15 \rightarrow 5x+2y=7\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The last equation is your equation in standard form:\[Ax+By=C\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0np. Just hope it's clear enough for you to do it for yourself next time :)
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