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If the line passing through $(3, 4)$ and $(x, 5)$ makes $135 °$ angle with the positive direction of $x -$ axis, then $x =$

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Correct option is B

Since the line passing through (3, 4) and (x, 5) makes an angle of 135° with x-axis. Therefore, its slope is tan 135° = -1. But, the slope of the line is also equal to5−4x−3 Using : m=y2−y1x2−x1∴ −1=5−4x−3⇒−x+3=1⇒x=2.

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If the line passing through (3,4) and (x,5) makes 135° angle with the positive direction of x-axis, then x =

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If the line passing through $(3, 4)$ and $(x, 5)$ makes $135 °$ angle with the positive direction of $x -$ axis, then $x =$