document.write( "Question 175560: What is the slope and y intercept for the line in b?\r
\n" ); document.write( "\n" ); document.write( "b) The water line is given by the equation y=-2/3x-12 \r
\n" ); document.write( "\n" ); document.write( "Suppose you want to put a pink flamingo lawn ornament in your backyard, but you want to avoid placing it directly over the water line, in case you need to excavate the line for repairs in the future. Could you place it at the point
\n" ); document.write( "(-4,-10)? \r
\n" ); document.write( "\n" ); document.write( "No\r
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Algebra.Com's Answer #130646 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
We can see that the equation \"y=-%282%2F3%29x-12\" is in slope intercept form \"y=mx%2Bb\" where the slope is \"m=-2%2F3\" and the y-intercept is \"b=-12\" note: the y-intercept is the point \r
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\n" ); document.write( "\n" ); document.write( "Since we're looking at the point (-4,-10), this means that \"x=-4\" and \"y=-10\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=-%282%2F3%29x-12\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"-10=-%282%2F3%29%28-4%29-12\" Plug in \"x=-4\" and \"y=-10\"\r
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\n" ); document.write( "\n" ); document.write( "\"-10=8%2F3-12\" Multiply \r
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\n" ); document.write( "\n" ); document.write( "\"-10=8%2F3-36%2F3\" Multiply 12 by \"3%2F3\"\r
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\n" ); document.write( "\n" ); document.write( "\"-10=-28%2F3\" Subtract the fractions.\r
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\n" ); document.write( "\n" ); document.write( "Since the equation is NOT true, this means that the point (-4,-10) is NOT on the line \"y=-%282%2F3%29x-12\". So the flamingo at the point (-4,-10) is NOT on the water line \"y=-%282%2F3%29x-12\"\r
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\n" ); document.write( "\n" ); document.write( "So you can place the flamingo at the point (-4,-10).
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