document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205545>Question 1205545</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph -8y+10x=16 by finding three solutions. Write the equation in y=mx+b form first. Then choose three x-values and find the corresponding y-values </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #842422 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=842422\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> equation is -8y + 10x = 16\r<BR>\n" );
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document.write( "convert to y = mx + b format by doing the following:\r<BR>\n" );
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document.write( "start with -8y + 10x = 16<BR>\n" );
document.write( "add 8y to both sides of the equation and subtract 16 from both sides of the equation to get:<BR>\n" );
document.write( "10x - 16 = 8y<BR>\n" );
document.write( "flip sides of the equation to get:<BR>\n" );
document.write( "8y = 10x - 16<BR>\n" );
document.write( "divide both sides by 8 to get:<BR>\n" );
document.write( "y = 10/8 * x - 16/8<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "y = 1.25 * x - 2\r<BR>\n" );
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document.write( "-2 is the y-intercept<BR>\n" );
document.write( "1.25 is the slope.\r<BR>\n" );
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document.write( "solve for the x-intercept as follows:<BR>\n" );
document.write( "start with y = 1.25 * x - 2<BR>\n" );
document.write( "set y = 0 to get:<BR>\n" );
document.write( "0 = 1.25 * x - 2<BR>\n" );
document.write( "add 2 to both sides of the equation to get:<BR>\n" );
document.write( "2 = 1.25 * x<BR>\n" );
document.write( "solve for x to get:<BR>\n" );
document.write( "x = 2/1.25 = 1.6\r<BR>\n" );
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document.write( "the x-intercept is equal to 1.6<BR>\n" );
document.write( "that's the value of x when y is equal to 0.\r<BR>\n" );
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document.write( "the y-intercept is equal to -2.<BR>\n" );
document.write( "that's the value of y when x is equal to 0.\r<BR>\n" );
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document.write( "the slope of 1.25 says that y goes up 1.25 units when x goes to the right 1 unit.<BR>\n" );
document.write( "there are two points on the graph that can be used to show this.<BR>\n" );
document.write( "they are (0,-2) and (4,3)<BR>\n" );
document.write( "x goes to the right 4 units.<BR>\n" );
document.write( "y goes up 5 units.<BR>\n" );
document.write( "the slope is the change in y divided by the change in x = 5/4 = 1.25\r<BR>\n" );
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document.write( "the graph looks like this:\r<BR>\n" );
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document.write( "the x-intercept is shown on the graph as (0,-2)<BR>\n" );
document.write( "the y-intyercept is shown on the graph as (1.6,0)\r<BR>\n" );
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document.write( "the points are shown in (x,y) format.<BR>\n" );
document.write( "x ix the x-value of the point.<BR>\n" );
document.write( "y is the y-value of the point.\r<BR>\n" );
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document.write( "here's what the graph looks like.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2024/010511.jpg\">\r<BR>\n" );
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document.write( "the fact that the two equations create the same figure on the graph indicates that they are equivalent.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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