Question on: JAMB Mathematics - 1997

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
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Correct Option: C

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

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