The angle between the positive horizontal axis and a given line is 135o. Find the equation of the line if it passes through the point (2,3)
-
A.
x – y = 1 -
B.
x + y = 1 -
C.
x + y = 5 -
D.
x – y = 5
Correct Answer: Option C
Explanation
m = tan 135o = -tan 45o = -1
(frac{y – y_1}{x – x_1}) = m
(frac{y – 3}{x – 2}) = -1
= y – 3 = -(x – 2)
= -x + 2
x + y = 5