document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=225449>Question 225449</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the equation of the line that has a slope of -8 and passes through the point (-1,-5) write the equation in standard  form. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #168210 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=168210\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line that has a slope of -8 and passes through the point (-1,-5) write the equation in standard  form.\r<BR>\n" );
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document.write( "Step 1. The slope-intercept form is given as y=mx+b where m is the slope and b is the y-intercept when x=0 or at point (0,b).  From the slope intercept form we can derive the standard form given as Ax+By=C where A, B, and C are constants.  Now, let's find the equation of the line in slope-intercept form\r<BR>\n" );
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document.write( "Step 2.  Here, we have to find the line with slope m=-8 going through point (-1,-5).\r<BR>\n" );
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document.write( "Step 3.  Given two points (x1,y1) and (x2,y2), then the slope m is given as\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28y2-y1%29%2F%28x2-x1%29 ALIGN=MIDDLE  ALT=\"m=%28y2-y1%29%2F%28x2-x1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 4.  Let (x1,y1)=(-1,-5) or x1=-1 and y1=-5.  Let other point be (x2,y2)=(x,y) or x2=x and y2=y.\r<BR>\n" );
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document.write( "Step 5.  Now we're given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=-8 ALIGN=MIDDLE  ALT=\"m=-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Substituting above values and variables in the slope equation m yields the following steps:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28y2-y1%29%2F%28x2-x1%29 ALIGN=MIDDLE  ALT=\"m=%28y2-y1%29%2F%28x2-x1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8=%28y-%28-5%29%29%2F%28x-%28-1%29%29=%28y%2B5%29%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"-8=%28y-%28-5%29%29%2F%28x-%28-1%29%29=%28y%2B5%29%2F%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 6.  Multiply x+1 to both sides to get rid of denominator on right side of equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8%28x%2B1%29=y%2B5 ALIGN=MIDDLE  ALT=\"-8%28x%2B1%29=y%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8x-8=y%2B5 ALIGN=MIDDLE  ALT=\"-8x-8=y%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Step 7.  Add -5 to both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8x-8%2B%28-5%29=y%2B5%2B%28-5%29 ALIGN=MIDDLE  ALT=\"-8x-8%2B%28-5%29=y%2B5%2B%28-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8x-13=y ALIGN=MIDDLE  ALT=\"-8x-13=y\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Step 7.  The equation in slope-intercept form is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-8x-13 ALIGN=MIDDLE  ALT=\"y=-8x-13\"   DISABLED_style= \"max-width:90%; height:auto;\" > where the slope m=-8 and the y-intercept b=-13.\r<BR>\n" );
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document.write( "Note:  the above equation can be rewritten in standard form by adding 8x to both sides of the equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8x-13%2B8x=y%2B8x ALIGN=MIDDLE  ALT=\"-8x-13%2B8x=y%2B8x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%2By=-13 ALIGN=MIDDLE  ALT=\"8x%2By=-13\"   DISABLED_style= \"max-width:90%; height:auto;\" >   \r<BR>\n" );
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document.write( "Step 8.  ANSWER:  The equation of the line in standard form is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%2By=-13 ALIGN=MIDDLE  ALT=\"8x%2By=-13\"   DISABLED_style= \"max-width:90%; height:auto;\" >.   \r<BR>\n" );
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document.write( "And the graph is shown below which is consistent with the above steps.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-10%2C10%2C-20%2C10%2C-8x-13%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-10%2C10%2C-20%2C10%2C-8x-13%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I hope the above steps and explanation were helpful.\r<BR>\n" );
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document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "And good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J\r<BR>\n" );
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document.write( "http://www.FreedomUniversity.TV<BR>\n" );
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