document.write( "Question 447396: I need help writing the slope-intercept equation for the line that passes through (-3, -15) and is perpendicular to -6x + 8y = 3. Thank you. \n" ); document.write( "

Algebra.Com's Answer #853335 by ikleyn(53547) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "I need help writing the slope-intercept equation for the line that passes through (-3, -15)
\n" ); document.write( "and is perpendicular to -6x + 8y = 3. Thank you.
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "        The \" solution \" in the post by @mananth is INCORRECT.\r
\n" ); document.write( "\n" ); document.write( "        Speaking in soft manner, it is absurdist, since he identifies the values -4/3 and -1.33,\r
\n" ); document.write( "\n" ); document.write( "        although they are absolutely different, as any 5th grade student knows.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "        Therefore, I will re-write his solution to present it in correct form.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Your starting equation is\r\n" );
document.write( "\r\n" );
document.write( "    -6x + 8y = 3.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Find the slope of this line\r\n" );
document.write( "\r\n" );
document.write( "    m1 =  = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal m2 = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Now we want to write an equation of a straight line with the slope m2 =  through point (-3,-15).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Write it in the form\r\n" );
document.write( "\r\n" );
document.write( "    y =  + b.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "We need to find a constant 'b'.\r\n" );
document.write( "\r\n" );
document.write( "Find 'b' by plugging the values of x = -3,  y = -15 \r\n" );
document.write( "\r\n" );
document.write( "    -15 = {{(-4/3)*(-3)}}} + b\r\n" );
document.write( "\r\n" );
document.write( "    -15 = 4 + b\r\n" );
document.write( "\r\n" );
document.write( "    b = -19\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The required equation is y =  - 19.    ANSWER\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved correctly.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In this kind of problems, @mananth runs his computer code, which generates
\n" ); document.write( "incorrect solutions every time, from problem to problem.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I just tired to disprove them.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );