Question 1 :
Find the equation of the straight line parallel to the line
3x – y + 7 = 0 and passing through the point (1,-2).
Solution :
Here, the required line is parallel to the given line 3x - y + 7 = 0.Then their slopes will be equal.
m = -3/(-1), m = 3
Equation of the line :
(y - y1) = m (x - x1)
(y - (-2)) = 3(x - 1)
y + 2 = 3 x - 3
3x - y - 3 -2 = 0
3x - y - 5 = 0
Question 2 :
Find the equation of the straight line perpendicular to the straight line x – 2y + 3 = 0 and passing through the point (1,-2).
Solution :
Here the required line is perpendicular to the given line x – 2y + 3 = 0
m = -1/(-2)
= 1/2
slope of the required line = -1/m
= -1/(1/2)
= -2
Equation of the line
(y - y1) = m (x - x1)
(y - (-2)) = -2(x - 1)
y + 2 = -2 x + 2
2x + y + 2 - 2 = 0
2x + y = 0
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