document.write( "Question 192690: please help me answer
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\n" ); document.write( "Write the equation of the line that passes through (3,-5) and (5,7)
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\n" ); document.write( "thanks
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Algebra.Com's Answer #144623 by Earlsdon(6294)\"\" \"About 
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Write the equation of the line that passes through the points (3, -5) and (5, 7)
\n" ); document.write( "You could use the \"slope-intercept\" form of the equation: y = mx+b where m = slope and b = y-intercept.
\n" ); document.write( "To find the slope:
\n" ); document.write( "\"m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\" Using the x- and y-coordinates of the given points, make the appropriate substitutions:
\n" ); document.write( "\"m+=+%287-%28-5%29%29%2F%285-3%29\" Simplify.
\n" ); document.write( "\"m+=+12%2F2\"
\n" ); document.write( "\"m+=+6\"
\n" ); document.write( "So now you have:
\n" ); document.write( "\"y+=+6x%2Bb\" and you need to find b, the y-intercept. Use the x- and y-coordinates of either one of the two given points and substitute:
\n" ); document.write( "\"7+=+6%285%29%2Bb\"
\n" ); document.write( "\"7+=+30%2Bb\" Subtract 30 from both sides.
\n" ); document.write( "\"-23+=+b\"
\n" ); document.write( "Now you can write the final equation in slope-intercept form:
\n" ); document.write( "\"highlight_green%28y+=+6x-23%29\"
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