document.write( "Question 87565: Write the equation of a line in slope intercept form given the following points
\n" ); document.write( "(-3 7) and (4 -7)
\n" ); document.write( "Kind of confused here. Can you help?
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Algebra.Com's Answer #63492 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Write the equation in slope-intercept form: \"y+=+mx%2Bb\" for the line containing the two points (-3, 7) and (4, -7).
\n" ); document.write( "You can find the slope, m, by: \"m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\" where: (\"x%5B1%5D\", \"y%5B1%5D\") = (-3, 7) and (\"x%5B2%5D\", \"y%5B2%5D\") = (4, -7)
\n" ); document.write( "\"m+=+%28-7-7%29%2F%284-%28-3%29%29\"
\n" ); document.write( "\"m+=+-14%2F7\"
\n" ); document.write( "\"m+=+-2\"
\n" ); document.write( "So now you have:
\n" ); document.write( "\"y+=+-2x%2Bb\" Next, you need to find the value of the y-intercept, b.
\n" ); document.write( "To do this, you will substitute the x- and y-coordinate values from either one of the two given points into this equation and solve for b.
\n" ); document.write( "Let's choose the second point (4, -7) so we'll substitute x = 4 and y = -7 and solve for b.
\n" ); document.write( "\"-7+=+-2%284%29%2Bb\" Simplify.
\n" ); document.write( "\"-7+=+-8%2Bb\" Add 8 to both sides.
\n" ); document.write( "\"1+=+b\"
\n" ); document.write( "Now you can write the final equation in the point-slope form.
\n" ); document.write( "\"y+=+-2x%2B1\" ...and there it is!
\n" ); document.write( "And here's what the graph of this line would look like:
\n" ); document.write( "\"graph%28400%2C300%2C-5%2C5%2C-8%2C10%2C-2x%2B1%29\"
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