document.write( "Question 1003202: Hello, I am working on a series of questions with the equation y-3=3(x+1). I have the slope-intercept form y=3x+6, and the standard form 3x-y=-6? Now, I am trying to find an equation in standard form of a perpendicular line that passes through (5,-1). I took y=mx+b and solved for b=2/3, then y=-1/3x+2/3 and switched it around to y+x/3=2/3. Is this correct? I am confused because standard form is Ax+By=c, if my answer should be x/3+y=2/3?? Seems like that would be in the correct form. Thank you for your time! \n" ); document.write( "
Algebra.Com's Answer #619980 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! I have the slope-intercept form y=3x+6, and the standard form 3x-y=-6? \n" ); document.write( "------ \n" ); document.write( "Now, I am trying to find an equation in standard form of a perpendicular line that passes through (5,-1). \n" ); document.write( "I took y=mx+b and solved for b=2/3, then y=-1/3x+2/3 and switched it around to y+x/3=2/3. Is this correct? \n" ); document.write( "It's correct, tho you didn't show how you got it. \n" ); document.write( "---- \n" ); document.write( "The slope is m = -1/3 \n" ); document.write( "Use y-y1 = m*(x-x1) where (x1,y1) is the point (5,-1) \n" ); document.write( "y+1 = (-1/3)*(x-5) \n" ); document.write( "3y+3 = -x+5 \n" ); document.write( "x + 3y = 2 \n" ); document.write( "============================== \n" ); document.write( "I am confused because standard form is Ax+By=c, if my answer should be x/3+y=2/3?? Seems like that would be in the correct form. \n" ); document.write( "------------ \n" ); document.write( "x/3+y=2/3 \n" ); document.write( "Standard form has integers for A, B & C \n" ); document.write( "Multiply by 3 \n" ); document.write( "x + 3y = 2\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |