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Question
Find the equation of the lines passing through the point (1,1) and (– 2, 3)
Solution
The equation of line joining the two points (x1, y1) and (x2, y2) is
`(y - y_1)/(y_2 - y_1) = (x - 1)/(– 2 – 1)`
Given (x1, y1) = (1, 1), (x2, y2) = (– 2, 3)
∴ The equation of the required line is
`(y - 1)/(3 - 1) = (x - 1)/(- 2 - 1)`
`(y - 1)/2 = (x - 1)/( - 3)`
– 3(y – 1) = 2(x – 1)
– 3y + 3 = 2x – 2
2x + 3y – 2 – 3 = 0
2x + 3y – 5 = 0
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