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
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #30833)