First slide

Cartesian plane

Question

$Suppose that A (3, 5) and B (7, 1) are any two given points. The point where the line$ $with slope m = 1 and bisecting the line segment \bar{A B} meets the line \bar{A B} is$

Moderate

A

$(- 5, 4)$
B

$(5, 0)$
C

$(5, 3)$
D

$(0, - 4)$

Solution

$Since the line is bisecting the line \bar{A B}, required point is midpoint of \bar{A B}$
$Hence the midpoint of A B is (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2}) = (\frac{3 + 7}{2}, \frac{5 + 1}{2}) = (5, 3)$

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