A) \[\frac{h}{1+h}\]
B) \[\frac{-h}{1+h}\]
C) \[\frac{h}{1-h}\]
D) \[1+h\]
Correct Answer: B
Solution :
Here, as we can see from the figure that the line 1 intersects x - axis at \[(h,0)\] and y-axis at \[(0,h+m)\]. Now, we know that slope of the line is given by ratio of the difference of y-co-ordinates to the difference of x- co-ordinates of the points, the line passes through. It is given that the slope of line 1 is m and it passes through \[(h,0)\] and \[(0,h+m)\]. \[\therefore \] \[m=\frac{(h+m)-(0)}{(0)-(h)}=\frac{h+m}{-h}\] or \[-mh=h+m\] or \[m+mh=-h\] or \[m(1+h)=-h\] or \[m=\frac{-h}{1+h}\]You need to login to perform this action.
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