Question 92

Slope of the line AB is -4/3. Co-ordinates of points A and B are (x, -5) and (-5, 3) respectively. What is the value of x?

Solution

slope = $$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{3+5}{-5-x}=\frac{8}{-5-x}=\frac{-4}{3}$$

$$\rightarrow 24 = 20 + 4x$$

$$\rightarrow x = 1$$

so the answer is option D.

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