The equation of line passing through (2, 3) and making an angle 45° with
positive x-axis is :
(A) x – y + 1 = 0
(B)

1 thought on “The equation of line passing through (2, 3) and making an angle 45° with<br />positive x-axis is :<br />(A) x – y + 1 = 0<br />(B)”

1. Given:

   The points through which the line passes = (2,3)

   The angle that the line makes with the positive angles = 45°

   To find:

   The equation of the line.

   Solution:

   The slope of the line will be = tan(45°) = 1

   Using the slope intercept form to find the equation of line:

   (y-3)/ (x-2) = 1

   y-3 = x-2

   y = x +1

   x – y + 1 = 0

   Thus the correct option is A, i.e. the equation of the line will be x – y + 1 = 0.

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