document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1159298>Question 1159298</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of the line that passes through the points open parentheses negative 1 comma space minus 11 close parentheses and open parentheses negative 2 comma space minus 15 close parentheses. Write your answer in slope-intercept form.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #782287 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=782287\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Problem<BR>\n" );
document.write( "Write the equation of the line that passes through the points (-1, -11) and (-2, -15). Write your answer in slope-intercept form.\r<BR>\n" );
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document.write( "Answer: <font color=red size=4>y = 4x - 7</font><BR>\n" );
document.write( "slope = 4, y intercept = -7\r<BR>\n" );
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document.write( "Work Shown:\r<BR>\n" );
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document.write( "Find the slope of the line through (x1,y1) = (-1,-11) and (x2,y2) = (-2,-15)<BR>\n" );
document.write( "m = (y2 - y1)/(x2 - x1)<BR>\n" );
document.write( "m = (-15 - (-11))/(-2 - (-1))<BR>\n" );
document.write( "m = (-15 + 11)/(-2 + 1)<BR>\n" );
document.write( "m = (-4)/(-1)<BR>\n" );
document.write( "m = 4<BR>\n" );
document.write( "The slope is 4, which is the same as 4/1, meaning we have a rise of 4 and a run of 1.\r<BR>\n" );
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document.write( "Plug m = 4 and (x1,y1) = (-1,-11) into the point slope formula. Solve for y.<BR>\n" );
document.write( "y - y1 = m(x - x1)<BR>\n" );
document.write( "y - (-11) = 4(x - (-1)) ... replace m with 4, x1 with -1, and y1 with -11<BR>\n" );
document.write( "y + 11 = 4(x + 1) ... subtracting a negative is the same as adding<BR>\n" );
document.write( "y + 11 = 4*x + 4*(1) ... distributive property<BR>\n" );
document.write( "y + 11 = 4x + 4<BR>\n" );
document.write( "y + 11 - 11 = 4x + 4 - 11 .... subtract 11 from both sides<BR>\n" );
document.write( "y = 4x - 7 ... combine like terms\r<BR>\n" );
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document.write( "This is in the form y = mx+b with m = 4 as the slope and b = -7 as the y intercept<BR>\n" );
document.write( "The y intercept as an ordered pair is (0, -7)\r<BR>\n" );
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document.write( "To confirm that y = 4x-7 is the correct answer, let's plug in x = -1 and see what happens<BR>\n" );
document.write( "y = 4x-7<BR>\n" );
document.write( "y = 4(-1) - 7<BR>\n" );
document.write( "y = -4 - 7<BR>\n" );
document.write( "y = -11<BR>\n" );
document.write( "Therefore, x = -1 and y = -11 pair up to get us the point (-1, -11)\r<BR>\n" );
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document.write( "Repeat for x = -2<BR>\n" );
document.write( "y = 4x-7<BR>\n" );
document.write( "y = 4(-2) - 7<BR>\n" );
document.write( "y = -8-7<BR>\n" );
document.write( "y = -15<BR>\n" );
document.write( "Leading to the point (-2,-15)\r<BR>\n" );
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document.write( "So we have confirmed y = 4x-7 as the proper answer as it goes through (-1, -11) and (-2,-15) as the instructions require. \r<BR>\n" );
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document.write( "Extra info: the x intercept is x = 7/4 = 1.75 which is found by plugging in y = 0 and solving for x. So you would solve 0 = 4x-7 for x. \r<BR>\n" );
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