Slope of the line AB is - 2/3. Co-ordinates of points A and B are (x, -3) and (5, 2) respectively. What is the value of x?

Answer: Option C

Solution

Answer: Option C

Solution:

Given,

$$\begin{array}{rl}& m=\frac{-2}{3}\\ & m=\frac{y_2-y_1}{x_2-x_1}\\ & \Rightarrow \frac{-2}{3}=\frac{2+3}{5-x}\\ & \Rightarrow \frac{-2}{3}=\frac{5}{5-x}\\ & \Rightarrow -10+2x=15\\ & \Rightarrow 2x=25\\ & \Rightarrow x=12.5\end{array}$$