The equation of the straight line passing through the point M (-5, 4), such that the portion of it between the axes is divided by the point M in to two equal halves, is
Explanation:
Let the x-intercept and y-intercept of the line are B (a, 0) and A (0, b)
Since M (-5, 4) is the midpoint of these two intercepts, we have -5 = (a + 0)/2 and 4 = (0 + b)/2 ⇒ a = -10 and b = 8
∴ Equation of the line is: x/-10 + y/8 = 1 ⇒ -8x + 10y = 80 ⇒ 10y - 8x = 80
Hence, option (a).
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