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Question
Find the equation of the line which satisfy the given condition:
Passing through the points (–1, 1) and (2, –4).
Solution
Slope of the line passing through the points (x1, y1) and (x2, y2) = `("y"_2 - "y"_1)/("x"_2 - "x"_1)`
∴ Equation of the line passing through (x1, y1) and (x2, y2),
`"y" - "y"_1 = ("y"_2 - "y"_1)/("x"_2 - "x"_1) ("x" - "x"_1)`
Given: Putting x1 = −1, y1 = 1, x2 = 2 and y2 = −4,
`"y" - 1 = (-4 -1)/(2 + 1)("x" + 1) = 5/3 ("x" +1)`
or 3y – 3 = –5x – 5
Hence, 5x + 3y + 2 = 0
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