document.write( "Question 927703: The slope of the line segment is 3 and one endpoint is (-2,5). If the other endpoint is on the axis, what are the coordinates? \n" ); document.write( "
Algebra.Com's Answer #563183 by KMST(5328)\"\" \"About 
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On what axis? The x-axis? The y-axis? Never mind; we can find both.
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\n" ); document.write( "Using the data given, a point-slope form of the equation of the line can be written as
\n" ); document.write( "\"y-5=3%28x-%28-2%29%29\"<--->\"y-5=3%28x%2B2%29\"
\n" ); document.write( "A little algebra can be used to transform the equation above into the one and only slope-intercept form:
\n" ); document.write( "\"y-5=3%28x%2B2%29\"<--->\"y-5=3%28x%2B2%29\"<--->\"y-5=3%28x%2B2%29\"<--->\"y-5=3%28x%2B2%29\"
\n" ); document.write( "However, that is not necessary. The x- and y-intercepts can be found by making y=0 and x=0 respectively.
\n" ); document.write( "For that line,
\n" ); document.write( "the point on the x-axis, with \"y=0\" , has
\n" ); document.write( "\"0-5=3%28x%2B2%29\"<--->\"-5=3%28x%2B2%29\"<--->\"-5%2F3=x%2B2\"<--->\"-5%2F3-2=x\"<--->\"x=-11%2F3\" , and
\n" ); document.write( "the point on the y-axis, with \"x=0\" , has
\n" ); document.write( "\"y-5=3%280%2B2%29\"<--->\"y-5=3%2A2\"<--->\"y-5=6\"<--->\"y=6%2B5\"<--->\"y=11\" .
\n" ); document.write( "So the other end-point of the segment, on a coordinate axis is either
\n" ); document.write( "\"A%28-11%2F3%2C0%29\" on the x-axis, or
\n" ); document.write( "\"B%280%2C11%29\" on the y-axis.
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