document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=704258>Question 704258</A>: <I><SPAN STYLE=\"word-break: break-all;\"> OK, so my home work is on Algebra 1<BR>\n" );
document.write( "My problem is about \"GEOMETRY: PARALLEL<BR>\n" );
document.write( "and PERPENDICULAR LINES.<BR>\n" );
document.write( "Write the slope-intercept form of an equation for the line that passes through the given point and is PARALLEL to the graph of each equation.<BR>\n" );
document.write( "(2,3) Y=X+5<BR>\n" );
document.write( "PLease help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #433994 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=433994\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Parallel lines have the same slope,<BR>\n" );
document.write( "because slope is the change in y for an x increase of 1,<BR>\n" );
document.write( "and that is the tangent of the angle the line makes with the positive x axis.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C270%2C0.1%2C1.1%2C-0.1%2C0.8%2C%0D%0Agrid%280%29%2C%0D%0Agreen%28line%280%2C-7%2F40%2C1.2%2C7%2F8%29%29%2C%0D%0Ablue%28triangle%280.2%2C0%2C1%2C00%2C1%2C0.7%29%29%2C%0D%0Ablue%28rectangle%280.95%2C0%2C1%2C0.05%29%29%2C%0D%0Aline%280.2%2C0%2C0.2%2C-0.03%29%2Cline%281%2C0%2C1%2C-0.03%29%2C%0D%0Alocate%280.17%2C0%2Ca%29%2Clocate%280.94%2C0%2C%22a%2B%22%29%2C%0D%0Alocate%280.6%2C0.07%2C1%29%2Clocate%280.87%2C0.37%2Cslope%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%2B5 ALIGN=MIDDLE  ALT=\"y=x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the equation of a line in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28slope-intercept%29 ALIGN=MIDDLE  ALT=\"highlight%28slope-intercept%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > form.<BR>\n" );
document.write( "That is the unique and very useful form that starts with \"y=\".<BR>\n" );
document.write( "The number added at the end (5 in this case) is the intercept,<BR>\n" );
document.write( "the y value for x=0, and therefore the y- coordinate of the point where the line \"intercepts\" the y-axis.<BR>\n" );
document.write( "The number multiplying the x (an invisible 1 in this case) is the slope.<BR>\n" );
document.write( "You can see that for x=0, y=5, but if you increase x by one,<BR>\n" );
document.write( "for x=1, y=1+5 has increased by 1.<BR>\n" );
document.write( " <BR>\n" );
document.write( "The line parallel to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%2B5 ALIGN=MIDDLE  ALT=\"y=x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > will have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28slope=1%29 ALIGN=MIDDLE  ALT=\"highlight%28slope=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and an intercept, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > to be determined.<BR>\n" );
document.write( "Its equation will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%2Bb ALIGN=MIDDLE  ALT=\"y=x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We know that for that line the <BR>\n" );
document.write( "point with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3 ALIGN=MIDDLE  ALT=\"y=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > so substituting into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%2Bb ALIGN=MIDDLE  ALT=\"y=x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3=2%2Bb ALIGN=MIDDLE  ALT=\"3=2%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3-2=b ALIGN=MIDDLE  ALT=\"3-2=b\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28b=1%29 ALIGN=MIDDLE  ALT=\"highlight%28b=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and the equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=x%2B1%29 ALIGN=MIDDLE  ALT=\"highlight%28y=x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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