document.write( "Question 400211: How do I find the equation of the line with:\r
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document.write( "1) x-intercept= -3 and y-intercept= 2\r
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document.write( "2) x-intercept= 5 and y-intercept= 6\r
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document.write( "Thank you! \n" );
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Algebra.Com's Answer #285144 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! How do I find the equation of the line with: \n" ); document.write( "1) x-intercept= -3 and y-intercept= 2 \n" ); document.write( "2) x-intercept= 5 and y-intercept= 6\r \n" ); document.write( "\n" ); document.write( "..\r \n" ); document.write( "\n" ); document.write( "Equations for these lines take the form: y=mx+b, with m as the slope and b, the y-intercept. The problem, then, is to find the slope,m. A graphical solution is one of the ways to find m.\r \n" ); document.write( "\n" ); document.write( "In an x-y coordinate system, mark the x-intercept and y-intercept on their respective axis then draw a line thru both points. You will easily see that the slope m = y-intercept/x-intercept. When moving from left to right, the slope is negative when the line goes down , and positive when the line goes up.\r \n" ); document.write( "\n" ); document.write( "In the first case, the slope is 2/3 and positive. In the second case, the slope is 6/5 and negative.\r \n" ); document.write( "\n" ); document.write( "The two equations are:\r \n" ); document.write( "\n" ); document.write( "y=(2/3)x+2 \n" ); document.write( "y=(-6/5)x+6\r \n" ); document.write( "\n" ); document.write( "see these lines on the following graph.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I'm sure there are other ways to do this problem, but I like this graphical solution.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |