document.write( "Question 413564: Hi, can anyone help figure out these two coordinate geometry problems?: \r
\n" ); document.write( "\n" ); document.write( "1) How do I find the equation of the line passing through (12,4) and perpendicular to y=3x+6? Leave answer in general form.\r
\n" ); document.write( "\n" ); document.write( "2) How do I find the equation of the line passing through (6,10) and perpendicular to 3x-4y=12? Leave answer in general form.\r
\n" ); document.write( "\n" ); document.write( "Thank you so much for your time! I have test on these tomorrow.
\n" ); document.write( "

Algebra.Com's Answer #290199 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
A line and a point example.
\n" ); document.write( "Write in standard form the eqation of a line that satisfies the given conditions. Perpendicular to 9x+3y=36, through (1,2)
\n" ); document.write( "-----------------
\n" ); document.write( "Find the slope of the line. Do that by putting the equation in slope-intercept form, y = mx + b. That means solve for y.
\n" ); document.write( "9x+3y = 36
\n" ); document.write( "3y= - 9x + 36
\n" ); document.write( "y = -3x + 12
\n" ); document.write( "The slope, m = -3
\n" ); document.write( "------------------
\n" ); document.write( "The slope of lines parallel is the same.
\n" ); document.write( "The slope of lines perpendicular is the negative inverse, m = +1/3
\n" ); document.write( "----------------
\n" ); document.write( "Use y = mx + b and the point (1,2) to find b.
\n" ); document.write( "2 = (1/3)*1 + b
\n" ); document.write( "b = 5/3
\n" ); document.write( "The equation is y = (1/3)x + 5/3 (slope-intercept form)
\n" ); document.write( "x - 3y = -5 (standard form)
\n" ); document.write( "------------------------
\n" ); document.write( "For further assistance, or to check your work, email me via the thank you note, or at Moral Loophole@aol.com
\n" ); document.write( "
\n" );