Question

The equation of line passing through (2, 3) and making an angle 45° with
positive x-axis is :
(A) x - y + 1 = 0
(B) x + y - 5 = 0
(C) x + y - 1 = 0
(D) None of these
​

Answer 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.