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Mathematics 12 Online
OpenStudy (anonymous):

Help please, I'll provide a picture.

OpenStudy (anonymous):

OpenStudy (goformit100):

I think C is correct.

OpenStudy (anonymous):

thanks

OpenStudy (anonymous):

ok, so first of all let m1 be the slope of the first line: \[m_{1} = 2/3\] and m2 the slope of the line you must find. we know that to perpendicular lines have the slopes defined by the following relation: \[m_{1} \times m_{2} = -1 => m_{2} = \frac{ -1 }{ m_{1} } = \frac{ -1 }{ \frac{ 2 }{ 3 } } = \frac{ -3 }{ 2 }\]

OpenStudy (anonymous):

so the answer will be -3/2x cause when u flip the equation?

OpenStudy (ivettef365):

that is correct

OpenStudy (anonymous):

so far we have found the slope of the second line. now, you one more thing: it passes through a point, let's say A(2,-3) . in order to find out the equation here the relation you have to use: equation of the second line: \[y - y _{A} = m _{2}(x-x _{A}) => (y - (-3)) = \frac{ -3 }{ 2 } (x-2) => y+3 = \frac{ -3 }{ 2 }x + 3 => y = \frac{ -3 }{ 2 }x\]

OpenStudy (ivettef365):

the slope is -3/2x, you have points (2,-3) -3 = -3/2(2) + b -3 = -3 +b so b = 0 again you have y = -3/2x + 0 which is the same as y = -3/2x

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