document.write( "Question 967947: What is an equation of the line that passes through the point (-2,5) and is perpendicular to the line whose equation is y = 1/2x + 5?
\n" ); document.write( "Please explain the steps to how you got the answer. Thank you! \n" ); document.write( "

Algebra.Com's Answer #591586 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
The given equation is in the slope-intercept form
\n" ); document.write( "The form is:
\n" ); document.write( " $\"+y+=+m%2Ax+%2B+b+\"$ where
\n" ); document.write( " $\"+m+\"$ = slope
\n" ); document.write( "---------------------
\n" ); document.write( " $\"+y+=+%281%2F2%29%2Ax+%2B+5+\"$
\n" ); document.write( "Any line which is perpendicular to this line will
\n" ); document.write( "have slope =
\n" ); document.write( " $\"+m%5B1%5D+=+-1%2Fm+\"$
\n" ); document.write( " $\"+m%5B1%5D+=+-1%2F%28%281%2F2%29%29+\"$
\n" ); document.write( " $\"+m%5B1%5D+=+-2+\"$
\n" ); document.write( "----------------
\n" ); document.write( "Now I can use the general point-slope formula:
\n" ); document.write( " $\"+%28+y+-+5+%29+%2F+%28+x+-%28-2%29+%29+=+-2+\"$
\n" ); document.write( " $\"+%28+y+-+5+%29+%2F+%28+x+%2B+2+%29+=+-2+\"$
\n" ); document.write( " $\"+y+-+5+=+-2%2A%28+x+%2B+2+%29+\"$
\n" ); document.write( " $\"+y+-+5+=+-2x+-+4+\"$
\n" ); document.write( " $\"+y+=+-2x+%2B+1+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "check:
\n" ); document.write( "slope = $\"+-2+\"$
\n" ); document.write( "OK
\n" ); document.write( "Does it go through ( -2, 5 ) ?
\n" ); document.write( " $\"+y+=+-2x+%2B+1+\"$
\n" ); document.write( " $\"+5+=+-2%2A%28-2%29+%2B+1+\"$
\n" ); document.write( " $\"+5+=+4+%2B+1+\"$
\n" ); document.write( " $\"+5+=+5+\"$
\n" ); document.write( "OK \n" ); document.write( "

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