Question 42

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?

Solution

slope = $$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{2+3}{5-x}=\frac{5}{5-x}=\frac{-2}{3}$$

$$\rightarrow 15 = -10 + 2x$$

$$\rightarrow x = \frac{25}{2} = 12.5$$

so the answer is option C.

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