# What is the equation of the line passing through the points (3,2) and (6, 9). Does it pass through the point (9, 12)

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### 2 Answers

The equation of a line passing through the points `(x_1, y_1)` and (x_2, y_2) is `(y - y_1)/(x - x_1) = (y_2 - y_1)/(x_2-x_1)` .

The equation of the line passing through the points (3,2) and (6,9) is:

`(y - 2)/(x - 3) = (9 - 2)/(6 - 3)`

=> `(y - 2)/(x - 3) = 7/3`

=> 3y - 6 = 7x - 21

=> 7x - 3y - 15 = 0

Substituting the coordinates of the point (9, 12) in the equation, 7*9 - 3*12 - 15 = 12. This shows that the line does not pass through the point (9, 12).

**The equation of the line passing through (3, 2) and (6, 9) is 7x - 3y - 15 = 0. It does not pass through the point (9, 12)**

What is the equation of the line passing through the points (3,2) and (6, 9). Does it pass through the point (9, 12)