Question

In the given figure, if the slope of line l is $m$, then $m$ is terms of $h$ is

• A. $\frac{h}{1+h}$
• B. $\frac{-h}{1+h}$
• C. $\frac{h}{1-h}$
• D. $1+h$

Answer 1

The correct option is B $\frac{-h}{1+h}$

Here as we can see from the figure that the line l
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 I is m and it passes
through $(h,0)$ and $(0,h+m)$
$m=\frac{(h+m)-\left(0\right)}{\left(0\right)-\left(h\right)}=\frac{h+m}{-h}$
or $-mh=h+m$ or $m+mh=-h$
or $m(1+h)=-h$ or $m=\frac{-h}{1+h}$