document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=335606>Question 335606</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Mrs. Bailey gives a test, and her students’ scores range from 30 to 70. She decides to curve the scores, so that they range from 65 to 95. Let “x” be an original score, and “y” be a curved score. Using the ordered pairs (30,65) and (70,95), write the equation in slope/intercept form that she should use to curve the test scores.\r<BR>\n" );
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document.write( " In the scenario given above, what will an original score of 62 become? \r<BR>\n" );
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document.write( "I could really use some help with this. Any help would be really appreciated!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #240612 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=240612\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's start with the \"slope-intercept\" form of a linear equation.<BR>\n" );
document.write( "y = mx+b where m is the slope and b is the y-intercept.<BR>\n" );
document.write( "We can calculate the slope, m, using the two given points (30,65) and (70,95) as follows:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The x's and the y's here are taken from the two points.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%2895-65%29%2F%2870-30%29 ALIGN=MIDDLE  ALT=\"m+=+%2895-65%29%2F%2870-30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+30%2F40 ALIGN=MIDDLE  ALT=\"m+=+30%2F40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+3%2F4 ALIGN=MIDDLE  ALT=\"m+=+3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > so now we can write...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%283%2F4%29x%2Bb ALIGN=MIDDLE  ALT=\"y+=+%283%2F4%29x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > To find the value of b, we'll use the x- and y-coordinates from either one of the two given points.  Let's use (30,65).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=65+=+%283%2F4%29%2830%29%2Bb ALIGN=MIDDLE  ALT=\"65+=+%283%2F4%29%2830%29%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=65+=+%2890%2F4%29%2Bb ALIGN=MIDDLE  ALT=\"65+=+%2890%2F4%29%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify the fraction.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=65+=+%2845%2F2%29%2Bb ALIGN=MIDDLE  ALT=\"65+=+%2845%2F2%29%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply everything by 2 to clear the fraction.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=130+=+45%2B2b ALIGN=MIDDLE  ALT=\"130+=+45%2B2b\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 45 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=85+=+2b ALIGN=MIDDLE  ALT=\"85+=+2b\"   DISABLED_style= \"max-width:90%; height:auto;\" > divide both sides by 2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+42.5 ALIGN=MIDDLE  ALT=\"b+=+42.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now we can write the final equation in slope-intercept form:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y+=+%283%2F4%29x%2B42.5%29 ALIGN=MIDDLE  ALT=\"highlight%28y+=+%283%2F4%29x%2B42.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let's see how that looks when graphed:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-5%2C100%2C-5%2C100%2C%283%2F4%29x%2B42.5%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-5%2C100%2C-5%2C100%2C%283%2F4%29x%2B42.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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