document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=508298>Question 508298</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The graph of f passes through (-3,7) and is perpendicular to the line that has an x-intercept of 7 and a  y-intercept of  -56. The slope intercept form is y=? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #340923 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=340923\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, you have to determine the equation for the line that has an x-intercept of 7 and a y-intercept of -56. <BR>\n" );
document.write( "This information defines two points:<BR>\n" );
document.write( "(7,0) and (0,-56)<BR>\n" );
document.write( "To define the line, you need to determine the slope, m.<BR>\n" );
document.write( "m = (0-(-56)) / (7-0)<BR>\n" );
document.write( "m = 56/7<BR>\n" );
document.write( "m = 8<BR>\n" );
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document.write( "So the line's equation is:<BR>\n" );
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document.write( "y = 8x -56<BR>\n" );
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document.write( "A line perpendicular to it will have slope = -1/8. That defines<BR>\n" );
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document.write( "y = -1/8 + b<BR>\n" );
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document.write( "You can use the required point (-3,7) to find 'b'<BR>\n" );
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document.write( "7 = -1/8(-3) +b<BR>\n" );
document.write( "7 = 3/8 + b<BR>\n" );
document.write( "b = 6 5/8<BR>\n" );
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document.write( "y = -1/8*x + 6 5/8<BR>\n" );
document.write( "or<BR>\n" );
document.write( "y = -1/8*x + 53/8<BR>\n" );
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document.write( "In the following graph, the red line is y = 8x-56, the green line is y = -1/8x + 53/8<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C8%2Ax+-56%2C+-1%2F8%2Ax%2B6%2B5%2F8%29 ALIGN=MIDDLE  ALT=\"graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C8%2Ax+-56%2C+-1%2F8%2Ax%2B6%2B5%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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