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olchik [2.2K]
3 years ago
6

It's 12 points of u get this right​

Mathematics
1 answer:
earnstyle [38]3 years ago
4 0

Answer:

y = -2x + 8

Step-by-step explanation:

When two points are given, the equation of the line passing through the points is given by:

        $ \frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1} $

where: $ (x_1,y_1) $ and $ (x_2,y_2) $ are the two points passing through the line.

Here, $ (x_1,y_1) = (2,4) $ and $ (x_2, y_2) = (3,2) $.

Substituting in the formula, we have:

$ \frac{y - 4}{2 - 4} = \frac{x - 2}{3 - 2} $

⇒ $ \frac{y - 4}{-2} = \frac{x - 2}{1} $

⇒ y - 4 = -2x + 4

⇒ y = -2x + 8 is the required equation of the line.

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