document.write( "Question 703515: Find the slope of a line perpendicular to the line that has x−intercept −3 and has y−intercept of 4 \n" ); document.write( "

Algebra.Com's Answer #433531 by mananth(16946) $\"\"$ $\"About$

You can put this solution on YOUR website!
The equation of line with in intercept form is \r
\n" ); document.write( "\n" ); document.write( " $\"%28x%2Fa%29+%2B%28y%2Fb%29=1\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"%28x%2F-3%29+%2B+%28y%2F4%29+=1\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "multiply equation by LCD -12
\n" ); document.write( "so 4x-3y=-12\r
\n" ); document.write( "\n" ); document.write( "3y=4x-12
\n" ); document.write( "y = 4/3 x -4\r
\n" ); document.write( "\n" ); document.write( "slope = m= 4/3\r
\n" ); document.write( "\n" ); document.write( "Perpendicular line will have slope which is negative reciprocal of 4/3
\n" ); document.write( "= -3/4\r
\n" ); document.write( "\n" ); document.write( "The line is passing through (-3,0)\r
\n" ); document.write( "\n" ); document.write( "equation of line will be\r
\n" ); document.write( "\n" ); document.write( "(y-y1) = m(x-x1)\r
\n" ); document.write( "\n" ); document.write( "y-(-3)=-3/4(x-0)\r
\n" ); document.write( "\n" ); document.write( "y+3= -3/4 x \r
\n" ); document.write( "\n" ); document.write( "y= -3/4 x -3 \n" ); document.write( "

\n" );