Question

In the given figure, if the slope of line I is m, then m in terms of h is

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

Answer 1

Answer: (B)

$\frac{-h}{1+h}$

$ThegivenpointsareP=(x_1,y_1)=(0,h+m)andQ=(x_2,y_2)=(h,0).\therefore theirslope=\frac{changeinordinate}{changeinabscissae}=\frac{y_2-y_1}{x_2-x_1}=\frac{0-(h+m)}{h-0}=m------\left(given\right)⟹mh=-h-m⟹\frac{-h}{1+h}AnsOptionB$