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Question
Find the equation of the line which satisfy the given condition:
Intersects the x-axis at a distance of 3 units to the left of origin with slope –2.
Solution
The point located at a distance of 3 units to the left from the origin will be (−3, 0) and slope m = –2.
The equation of the line through m and (x1, y1),
y – y1 = m(x – x1)
Putting x1 = –3 and y1 = 0,
y – 0 = –2(x + 3)
or y = –2x – 6
or 2x + y + 6 = 0
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