document.write( "Question 550894: Given the linear equation y = -4x – 2, find the y-coordinates of the points (1, ), (-1, ), and (-3, ). Plot these points and graph the linear equation. \n" ); document.write( "
Algebra.Com's Answer #359217 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
Given the linear equation y = -4x – 2, find the y-coordinates of the points (1, ), (-1, ), and (-3, ). Plot these points and graph the linear equation.
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document.write( "y = -4x - 2\r\n" );
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document.write( "Find the y-value for the ordered pair (1, )\r\n" );
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document.write( "Substitute (1) in place of x in\r\n" );
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document.write( "y = -4x - 2      and simplify:\r\n" );
document.write( "y = -4(1) - 2\r\n" );
document.write( "y = -4 - 2\r\n" );
document.write( "y = -6\r\n" );
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document.write( "So the ordered pair is (1,-6)\r\n" );
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document.write( "Now let's plot that point. Notice that it is directly\r\n" );
document.write( "under 1 on the x-axis and it is directly to the right \r\n" );
document.write( "of -6 on the y-axis\r\n" );
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document.write( "Find the y-value for the ordered pair (-1, )\r\n" );
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document.write( "Substitute (-1) in place of x in\r\n" );
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document.write( "y = -4x - 2      and simplify:\r\n" );
document.write( "y = -4(-1) - 2\r\n" );
document.write( "y = 4 - 2\r\n" );
document.write( "y = 2\r\n" );
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document.write( "So the ordered pair is (-1,2)\r\n" );
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document.write( "Now let's plot that point. Notice that it is directly\r\n" );
document.write( "above -1 on the x-axis and it is directly to the left \r\n" );
document.write( "of 2 on the y-axis\r\n" );
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document.write( "Find the y-value for the ordered pair (-3, )\r\n" );
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document.write( "Substitute (-3) in place of x in\r\n" );
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document.write( "y = -4x - 2      and simplify:\r\n" );
document.write( "y = -4(-3) - 2\r\n" );
document.write( "y = 12 - 2\r\n" );
document.write( "y = 10\r\n" );
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document.write( "So the ordered pair is (-3,10)\r\n" );
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document.write( "Now let's plot that point. Notice that it is directly\r\n" );
document.write( "above -3 on the x-axis and it is directly to the left \r\n" );
document.write( "of 10 on the y-axis\r\n" );
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document.write( "Now lat's get a ruler and we see the magic of algebra.\r\n" );
document.write( "All those points lie on a straight line.  We'll get a green\r\n" );
document.write( "pen and draw a green straight line through all three of those points.\r\n" );
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document.write( "  \r\n" );
document.write( "Edwin
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