document.write( "Question 83498: I am stuck and cannot seem to get this,
\n" ); document.write( " A line passing through (5,-6) and (-9,y)is perpendicular to a line with slope 14/5. Find the value of y.
\n" ); document.write( "A)1
\n" ); document.write( "B)-4
\n" ); document.write( "C)-2
\n" ); document.write( "D)-1
\n" ); document.write( "please I am do finals
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Algebra.Com's Answer #60025 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Start with the fact that perpendicular lines have slopes that are the negative reciprocal of each other.
\n" ); document.write( "So the slope of the line passing through the given points of (5, -6) and (-9, y) is going to be the negative reciprocal of \"14%2F5\" and this is \"-+5%2F14\"
\n" ); document.write( "Now you know what the slope is, you can apply the slope formula\"m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\" using the given points and you know that the result is going to be equal to \"-5%2F14\".
\n" ); document.write( "\"%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+-5%2F14\" Substitute the x- and y-coordinates of the given points.
\n" ); document.write( "\"%28y-%28-6%29%29%2F%28-9-5%29+=+-5%2F14\" Simplify and solve for y.
\n" ); document.write( "\"%28y%2B6%29%2F%28-14%29+=+-5%2F14\" Multiply both sides by -14.
\n" ); document.write( "\"y%2B6+=+5\" Subtract 6 from both sides.
\n" ); document.write( "\"y+=+-1\"
\n" ); document.write( "Answer D) is the correct choice.
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