document.write( "Question 580089: through(-2,2), parallel to -9x+8y=82 answer expressed in standard form. Please show steps \n" ); document.write( "
Algebra.Com's Answer #371160 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! through(-2,2), parallel to -9x+8y=82 answer expressed in standard form. \n" ); document.write( ": \n" ); document.write( "We want the equation in the slope/intercept form to find the slope (y=mx+b) \n" ); document.write( ": \n" ); document.write( "-9x + 8y = 82 \n" ); document.write( "add 9x to both sides \n" ); document.write( "8y = 9x + 82 \n" ); document.write( "divide both sides by 8 \n" ); document.write( "y = \n" ); document.write( "therefore the slope \n" ); document.write( "m = \n" ); document.write( ": \n" ); document.write( "Parallel lines have the same slope, therefore this line: \n" ); document.write( "x1=-2; y1=2 \n" ); document.write( "m = \n" ); document.write( ": \n" ); document.write( "Use the point/slope form: y - y1 = m(x - x1) \n" ); document.write( "y - 2 = \n" ); document.write( "y - 2 = \n" ); document.write( "y - 2 = \n" ); document.write( "y - 2 = \n" ); document.write( "add 2 to both sides (8/4) \n" ); document.write( "y = \n" ); document.write( "y = \n" ); document.write( "They want it in the standard form (no fractions) multiply by 8 \n" ); document.write( "8y = 9x + 34 \n" ); document.write( "-9x + 8y = 34 \n" ); document.write( "or multiply by -1 \n" ); document.write( "9x - 8y = -34, is the standard form of the parallel line going thru -2,2 \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "You can confirm this, substitute -2 for x and 2 for y, and see if the equation is true \n" ); document.write( ": \n" ); document.write( "How about this? Was it step-by-step enough for you? C\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |