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प्रश्न
Find the equation of the lines passing through the point (1,1) and (– 2, 3)
उत्तर
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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