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\n" ); document.write( "using the point-slope formula, what is the equation of the line that passes through the points(1,5) and (0,0)
\n" ); document.write( "expalin how you got the answer\r
\n" ); document.write( "\n" ); document.write( "By formula the slope of the line joining
\n" ); document.write( "two given points P(x1,y1) and Q(x2,y2) is given by
\n" ); document.write( "(y2-y1)/(x2-x1)
\n" ); document.write( "Therefore the slope of the line joining the points P(0,0) and Q(1,5) is
\n" ); document.write( "(5-0)/(1-0) = 5/1 = 5
\n" ); document.write( "[Here x1 = 0, y1 = 0 and x2 = 1,y2 = 5]
\n" ); document.write( "Here we have taken P to be the easier point (0,0)and the other point as Q.
\n" ); document.write( "No loss of generality there!
\n" ); document.write( "The equation to a line in point-slope formula
\n" ); document.write( "of a line passing through a fixed point P(x1,y1) and having slope = m
\n" ); document.write( "is given by
\n" ); document.write( "(y-y1)/(x-x1) = slope
\n" ); document.write( "(y-0)/(x-0) = 5
\n" ); document.write( "y/x = 5 (here x1=0 and y1=0)
\n" ); document.write( "y =5x
\n" ); document.write( "Answer: y=5x or 5x-y=0
\n" ); document.write( "Note: The equation that we have got for our line does not contain the free constant part. It contains only the x term and the y term. Why is this so?
\n" ); document.write( "It is because the line passes through the origin(0,))
\n" ); document.write( "The equation to any line passing through the origin is of the form y = mx where m is the slope of the line.
\n" ); document.write( " \n" ); document.write( "