document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=59576>Question 59576</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/053442032x/algebrahomeworkh>The Learning Equation</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A line passes through (-4,2) and has the same y-intercept as 2x-y=3.  Put this 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 #40833 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=40833\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A line passes through (-4,2) and has the same y-intercept as 2x-y=3.  Put this in standard form.<BR>\n" );
document.write( "This is a thinker.<BR>\n" );
document.write( "To find the y-intercept of the equation of a line you can let x=0 and solve for y.<BR>\n" );
document.write( "2(0)-y=3<BR>\n" );
document.write( "0-y=3<BR>\n" );
document.write( "-y=3<BR>\n" );
document.write( "-(y)=-(3)<BR>\n" );
document.write( "y=-3  The y-intercept is (0,-3)<BR>\n" );
document.write( "To find an equation of a line we need a slope and a point.  We don't have a slope, but we do have two points.  We can find the slope between two points with the slope formula: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28m=%28y2-y1%29%2F%28x2-x1%29%29 ALIGN=MIDDLE  ALT=\"highlight%28m=%28y2-y1%29%2F%28x2-x1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(x1,y1)=(-4,2) and (x2,y2)=(0,-3)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28-3-2%29%2F%280-%28-4%29%29 ALIGN=MIDDLE  ALT=\"m=%28-3-2%29%2F%280-%28-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=-5%2F4 ALIGN=MIDDLE  ALT=\"m=-5%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now we can use the slope, m=-5/4 and the y-intercept (0,b)=(0,-3)  To make an equation of a line with the slope intercep formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=mx%2Bb%29 ALIGN=MIDDLE  ALT=\"highlight%28y=mx%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, m=slope, and (0,b) is the y-intercept.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=%28-5%2F4%29x-3%29 ALIGN=MIDDLE  ALT=\"highlight%28y=%28-5%2F4%29x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
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