41. Find the equation of the perpendicular bisector of the line joining \( (5,0) \) and \( (-7,3) \). A. \( 8 x+2 y+11=0 \) B \( 8 x-2 y+11=0 \) C. \( 8 x-y+11=0 \) D. \( 8 x+y+11=0 \)
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The midpoint formula is: \[ \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \] Substitute the given points: \[ \left( \frac{5 + (-7)}{2}, \frac{0 + 3}{2} \right) = \left( \frac{-2}{2}, \frac{3}{2} \right) = (-1, 1.5) \] Show more…
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