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Question
Find the equation of the line passing through the points A(2, 0) and B(3, 4).
Solution
The required line passes through the points A(2, 0) = (x1, y1) and B(3, 4) = (x2, y2) say.
Equation of the line in two point form is
`(y - y_1)/(y_2 - y_1) = (x - x_1)/(x_2 - x_1)`
∴ the equation of the required line is
`(y - 0)/(4 - 0) = (x - 2)/(3 - 2)`
∴ `y/4 = (x - 2)/1`
∴ y = 4(x – 2)
∴ y = 4x – 8
∴ 4x – y – 8 = 0
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