Mathematics
JAMB 1997
The angle between the positive horizontal axis and a given line is 135
o. Find the equation of the line if it passes through the point (2,3)
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A.
x - y = 1
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B.
x + y = 1
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C.
x + y = 5
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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
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