Question

It's 12 points of u get this right
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Answer 1

y = -2x + 8

Explanation:

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

`$ (y - y_1)/(y_2 - y_1) = (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:

`$ (y - 4)/(2 - 4) = (x - 2)/(3 - 2) $`

⇒
`$ (y - 4)/(-2) = (x - 2)/(1) $`

⇒ y - 4 = -2x + 4

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