document.write( "Question 24897: Write the equation of the line passing through each of the given pairs of points. Write your result in slope-intercept form, where possible.\r
\n" ); document.write( "\n" ); document.write( "the first one is (-1,3) and (4,-2)\r
\n" ); document.write( "\n" ); document.write( "the second one is (2,-3) and (2,4) \n" ); document.write( "
Algebra.Com's Answer #13455 by Earlsdon(6294)\"\" \"About 
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1) Write the equation of the line passing through the points: (-1, 3) and (4, -2)\r
\n" ); document.write( "\n" ); document.write( "First, find the slope m, using the slope formula:\r
\n" ); document.write( "\n" ); document.write( "\"m+=+%28y2+-+y1%29%2F%28x2+-+x1%29\" where: (x1, y1) = (-1, 3) and (x2, y2) = (4, -2)
\n" ); document.write( "\"m+=+%28-2+-+3%29%2F%284+-+%28-1%29%29\"
\n" ); document.write( "\"m+=+-5%2F5\"
\n" ); document.write( "\"m+=+-1\"\r
\n" ); document.write( "\n" ); document.write( "Now you can write, in slope-intercept form: \"y+=+mx+%2B+b\":\r
\n" ); document.write( "\n" ); document.write( "\"y+=+%28-1%29x+%2B+b\" Now you need to find the value of b, the y-intercept.
\n" ); document.write( "You do this by substituting the x- and y-values from either one of the two given points and solving for b. Let's use the second point (4, -2):
\n" ); document.write( "\"-2+=+%28-1%29%284%29+%2B+b\" Simplify and solve for b.
\n" ); document.write( "\"-2+=+-4+%2B+b\" Add 4 to both sides of the equation.
\n" ); document.write( "\"2+=+b\" Now you have b you can write the final equation in slope-intercept form:\r
\n" ); document.write( "\n" ); document.write( "\"y+=+-x+%2B+2\"\r
\n" ); document.write( "\n" ); document.write( "Here's the graph of this line:
\n" ); document.write( "\"graph%28300%2C200%2C-5%2C5%2C-5%2C5%2C-x%2B2%29\"\r
\n" ); document.write( "\n" ); document.write( "You can follow this procedure on the second problem.
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