The equation of the line passing through (1, 2) and perpendicular to x + y + 7 = 0 is
The equation of the line passing through (1, 2) and perpendicular to x + y + 7 = 0 is
(A) y – x + 1 = 0
(B) y – x – 1 = 0
(C) y – x + 2 = 0
(D) y – x – 2 = 0.
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(B) is the correct answer. Let the slope of the line be m. Then, its equation passing through (1, 2) is given by
y – 2 = m (x – 1) .......(1)
Again, this line is perpendicular to the given line x + y + 7 = 0 whose slope is – 1
Therefore, we have m ( – 1) = – 1
or, m = 1
Hence, the required equation of the line is obtained by putting the value of m in (1), i.e.,
y – 2 = x – 1
or, y – x – 1 = 0
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