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)\"\" \"About 
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through(-2,2), parallel to -9x+8y=82 answer expressed in standard form.
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\n" ); document.write( "We want the equation in the slope/intercept form to find the slope (y=mx+b)
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\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 = \"9%2F8\"x + \"82%2F8\"
\n" ); document.write( "therefore the slope
\n" ); document.write( "m = \"9%2F8\"
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\n" ); document.write( "Parallel lines have the same slope, therefore this line:
\n" ); document.write( "x1=-2; y1=2
\n" ); document.write( "m = \"9%2F8\"
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\n" ); document.write( "Use the point/slope form: y - y1 = m(x - x1)
\n" ); document.write( "y - 2 = \"9%2F8\"(x - (-2))
\n" ); document.write( "y - 2 = \"9%2F8\"(x + 2)
\n" ); document.write( "y - 2 = \"9%2F8\"x + \"18%2F8\"
\n" ); document.write( "y - 2 = \"9%2F8\"x + \"9%2F4\"
\n" ); document.write( "add 2 to both sides (8/4)
\n" ); document.write( "y = \"9%2F8\"x + \"9%2F4\" + \"8%2F4\"
\n" ); document.write( "y = \"9%2F8\"x + \"17%2F4\"
\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
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\n" ); document.write( "You can confirm this, substitute -2 for x and 2 for y, and see if the equation is true
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\n" ); document.write( "How about this? Was it step-by-step enough for you? C\r
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