document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=21495>Question 21495</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the instructions say, write an equation of the line that passes through the point and has the given slope. write the equation in slope-intercept form.\r<BR>\n" );
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document.write( "the problem is (-3,-5),m=-2<BR>\n" );
document.write( "i do not get how to do this at all. Can you teach me and walk me through the steps?<BR>\n" );
document.write( "thank you so much,<BR>\n" );
document.write( "melinda  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #10381 by </B><A HREF=/tutors/aboutme.mpl?userid=mmm4444bot><B>mmm4444bot(95)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mmm4444bot><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=10381\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello There:\r<BR>\n" );
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document.write( "There are many different forms for writing the equation of a line.  For this problem, we need to know two of them:\r<BR>\n" );
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document.write( "y = m*x + b\r<BR>\n" );
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document.write( "This is the \"slope-intercept\" form where m is the slope and b is the y-intercept.  They call it the slope-intercept form because you can see at a glance what the slope and y-intercept are when looking at the equation.\r<BR>\n" );
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document.write( "For example, y = -7*x + 13\r<BR>\n" );
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document.write( "We can see that this line has a slope of -7 and crosses the y-axis at (0,13).\r<BR>\n" );
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document.write( "The other form that we need to know is the \"point-slope\" form.  We use this form when we know the slope of the line and the coordinates of one point on the line.\r<BR>\n" );
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document.write( "This is the information that you've been given.  The slope is -2, and the known point is (-3, -5).\r<BR>\n" );
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document.write( "If the known point is (a, b), and the slope is m, then the point-slope form is:\r<BR>\n" );
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document.write( "y - b = m*(x - a)\r<BR>\n" );
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document.write( "So, substituting the known coordinates for a and b, and the slope, we get:\r<BR>\n" );
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document.write( "y - (-5) = (-2)*(x - [-3])\r<BR>\n" );
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document.write( "y + 5 = -2*(x + 3)\r<BR>\n" );
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document.write( "y + 5 = -2*x - 6\r<BR>\n" );
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document.write( "y = -2*x - 6 - 5\r<BR>\n" );
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document.write( "y = -2*x - 11\r<BR>\n" );
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document.write( "So, as you see, by solving the point-slope form for y, we get the slope-intercept equation of the line.\r<BR>\n" );
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document.write( "This line has a slope of -2, and it crosses the y-axis at (0, -11).\r<BR>\n" );
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document.write( "~ Mark<BR>\n" );
document.write( " </SPAN>\n" );
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