document.write( "Question 314784: Write an equation of the line that passes through the point (2,-3) and is perpendicular to the line given by the equation 3x=4y+5. Give both the point-slope form as well as the slope-intercept form of the answer \n" ); document.write( "

Algebra.Com's Answer #225167 by Fombitz(32388) $\"\"$ $\"About$

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$\"3x=4y%2B5\"$
\n" ); document.write( " $\"4y=3x-5\"$
\n" ); document.write( " $\"y=+%283%2F4%29x-5%2F4\"$
\n" ); document.write( "Perpendicular lines have slopes that are negative reciprocals.
\n" ); document.write( " $\"m1%2Am2=-1\"$
\n" ); document.write( " $\"%283%2F4%29%2Am2=-1\"$
\n" ); document.write( " $\"m2=-4%2F3\"$
\n" ); document.write( "Use the point-slope form of a line,
\n" ); document.write( " $\"+y-yp=m%28x-xp%29\"$
\n" ); document.write( " $\"y-%28-3%29=-%284%2F3%29%28x-2%29\"$
\n" ); document.write( " $\"highlight_green%28+y%2B3=-%284%2F3%29%28x-2%29%29\"$
\n" ); document.write( "Convert to slope-intercept form, $\"y=mx%2Bb\"$
\n" ); document.write( " $\"y%2B3=-%284%2F3%29x%2B8%2F3\"$
\n" ); document.write( " $\"y=-%284%2F3%29x%2B8%2F3-9%2F3\"$ }
\n" ); document.write( " $\"highlight_green%28+y=+-%284%2F3%29x-1%2F3+%29\"$
\n" ); document.write( "

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