A straight line through the point (4, 5) is such that its intercept between the axes is bisected at A, then its equation is
Since the midpoint \( A \) is \( (4, 5) \), the line intercepts the \( x \)-axis at \( (8, 0) \) and the \( y \)-axis at \( (0, 10) \). Hence, the equation of the line is: \[ \frac{x}{8} + \frac{y}{10} = 1. \] Simplifying: \[ 10x + 8y = 80 \quad \Rightarrow \quad 5x + 4y = 40. \]
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