document.write( "Question 1099232: in which table do all the points lie on the line that has a y-intercept of 7 and a slope of -5 ?\r
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Algebra.Com's Answer #713686 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
in which table do all the points lie on the line that
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document.write( "1. x| -5,-3,0,2\r\n" );
document.write( "   y| 32,21,7,-3\r\n" );
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document.write( "(-5,32), (-3,21), (0,7), (2,-3)\r\n" );
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document.write( "Let's plot them, connect them, then connect the first \r\n" );
document.write( "point to the last point and see if they \r\n" );
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document.write( "(a) all fall on a line, and,\r\n" );
document.write( "(b) if they fall on a line, the line that they fall on \r\n" );
document.write( "    that has a y-intercept of 7, and \r\n" );
document.write( "(c) if they fall on a line with a y-intercept of 7, the \r\n" );
document.write( "    line that they fall on has a slope of -5:\r\n" );
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document.write( "No, they don't quite fall on the same line, as we can see\r\n" );
document.write( "when we draw a black line from the first point to the last \r\n" );
document.write( "one in the second graph above, because (-3,21) sticks out a\r\n" );
document.write( "little too far to the left.\r\n" );
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document.write( "2. x| -5,-3,0,2\r\n" );
document.write( "   y| 32,22,6,-3\r\n" );
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document.write( "(-5,32), (-3,22), (0,6), (2,-3)\r\n" );
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document.write( "Let's do the same with these:\r\n" );
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document.write( "No, they don't quite fall on the same line, as we can see\r\n" );
document.write( "when we draw a black line from the first point to the last \r\n" );
document.write( "one in the second graph above, because (0,6) sticks out a \r\n" );
document.write( "little too far to the left.  [Besides, it would have to cross\r\n" );
document.write( "the y-axis at (0,7)].\r\n" );
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document.write( "3. x| -5,-3,0,2\r\n" );
document.write( "   y| 32,22,7,-3\r\n" );
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document.write( "(-5,32), (-3,22), (0,7), (2,-3)\r\n" );
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document.write( "Let's do the same with these:\r\n" );
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document.write( "Well these do fall on the same line, as we can see\r\n" );
document.write( "when we draw a black line from the first point to the last one\r\n" );
document.write( "in the second graph above the black line falls right on top of\r\n" );
document.write( "the red,green, and blue parts.  Also it does have y-intercept\r\n" );
document.write( "at 7.  But we must check to see if its slope is -5. We consider\r\n" );
document.write( "the slope to be -5/1, so in the third graph above, we drew a \r\n" );
document.write( "line from the y-intercept (0,7) straight down the y-axis 5 units \r\n" );
document.write( "and then right 1 unit, and we ended up right on the line and now\r\n" );
document.write( "we know that this is the correct answer.\r\n" );
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document.write( "There is no use to do (4), because we have already found the\r\n" );
document.write( "right answer, but we will do it anyway, just to follow through.\r\n" );
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document.write( "4. x| -5,-3,0, 2\r\n" );
document.write( "   y| 32,22,7,-5\r\n" );
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document.write( "(-5,32), (-3,22), (0,7), (2,-5)\r\n" );
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document.write( "No, they don't quite fall on the same line, as we can see\r\n" );
document.write( "when we draw a black line from the first point to the last \r\n" );
document.write( "one in the second graph above, because (2,-5) is too far\r\n" );
document.write( "down.\r\n" );
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document.write( "But this is not the way you're supposed to do the problem.\r\n" );
document.write( "You're supposed to use the slope formula to find all 3\r\n" );
document.write( "slopes of the three parts of each one and find the one\r\n" );
document.write( "that has all three slopes equal to -5 and that passes\r\n" );
document.write( "through (0,7).  The correct choice will, of course, be 3.\r\n" );
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document.write( "Edwin
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