document.write( "Question 53962: Write the equation of the line passing through each of the pairs of points. Write your result in slope-intercept form, whereever possible.\r
\n" ); document.write( "\n" ); document.write( "(-1,3) and (4,-2)\r
\n" ); document.write( "\n" ); document.write( "Mcgraw Hill 6th edition, chapter 7.3, problem 3 20. Thanks so much for your help!!! \n" ); document.write( "

Algebra.Com's Answer #36259 by rchill(405) $\"\"$ $\"About$

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The slope, m, of a line is defined as $\"m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\"$ . So just substitute your ordered pairs into that equation to get $\"m=%28-2-3%29%2F%284%2B1%29\"$ , which simplifies to $\"m=-5%2F5\"$ which reduces to m=-1. That means our equation is y=-x+b in slope intercept form. To find out what b is, substitute one of the ordered pairs. Taking (-1,3) gives us 3=1+b, which reduces to b=2. So our final equation is y=-x+2 and graphs to:
\n" ); document.write( " $\"graph%28200%2C200%2C-5%2C5%2C-5%2C5%2C-x%2B2%29\"$ \n" ); document.write( "

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