Question

The line \( AB \) passes through the point \( P(-4, 3) \) and the portion of the line intercepted between the axes is divided internally in the ratio 5:3 by the point \( P \). Given that the point \( A \) lies on the x-axis and \( B \) lies on the y-axis, then the x-intercept of the line is

• A. \( \frac{32}{3} \)
• B. \( \frac{32}{5} \)
• C. \( \frac{24}{5} \)
• D. \( \frac{24}{3} \)

Hint:

To find the intercepts of a line given by two points, use the section formula to divide the segment and determine the equation of the line. Then, solve for the intercepts.

Answer 1

The Correct Option is A