document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=266532>Question 266532</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the slope and the y-intercept of the line<BR>\n" );
document.write( "5x=7y+14\r<BR>\n" );
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document.write( "The slope is?<BR>\n" );
document.write( "The y-intercept is? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #195819 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=195819\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> to find the slope, you put the equation into slope intercept form.\r<BR>\n" );
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document.write( "slope intercept form is found by solving for y.\r<BR>\n" );
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document.write( "the slope intercept form is y = mx + b where m is the slope and b is the y-intercept.\r<BR>\n" );
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document.write( "your equation is:\r<BR>\n" );
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document.write( "5x = 7y + 14\r<BR>\n" );
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document.write( "subtract 14 from both sides of the equation to get 7y = 5x - 14\r<BR>\n" );
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document.write( "divide both sides of the equation by 7 to get y = (5/7)x - (14/7)\r<BR>\n" );
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document.write( "your slope is (5/7) and your y-intercept is (14/7)\r<BR>\n" );
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document.write( "graph of your equation is shown below:\r<BR>\n" );
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document.write( "when x is 0, y is -2 (same as -(14/7).   <BR>\n" );
document.write( "that's your y-intercept.\r<BR>\n" );
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document.write( "for every 7 units to the right for x, y moves up 5 units.\r<BR>\n" );
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document.write( "when x is 0, y is -2.<BR>\n" );
document.write( "when x is 7, y is 3.<BR>\n" );
document.write( "that's a movement of up 5 for y when x moves right 7.<BR>\n" );
document.write( "that's your slope (5/7) which is change in y divided by change in x.\r<BR>\n" );
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document.write( "your original equation is:\r<BR>\n" );
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document.write( "5x = 7y + 14\r<BR>\n" );
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document.write( "make x = 0 and you get 0 = 7y + 14<BR>\n" );
document.write( "subtract 14 from both sides of equation to get 7y = -14<BR>\n" );
document.write( "divide both sides by 7 to get y = -2 (y-intercept).\r<BR>\n" );
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document.write( "the y-intercept equals the value of y when x = 0.\r<BR>\n" );
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document.write( "to see if the slope is accurate, make x = 7 in the original equation.\r<BR>\n" );
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document.write( "5x = 7y + 14 becomes 5*7 = 7y + 14 becomes 35 = 7y + 14.<BR>\n" );
document.write( "subtract 14 from both sides to get 7y = 35-14 which becomes 7y = 21.<BR>\n" );
document.write( "divide both sides by 7 to get y = 3.\r<BR>\n" );
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document.write( "the original equation gives you the same results as the slope intercept form of the original equation which it should do so you're good all around.\r<BR>\n" );
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document.write( "your answer is:\r<BR>\n" );
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document.write( "slope = (5/7)\r<BR>\n" );
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document.write( "y-intercept = -2\r<BR>\n" );
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