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choose the equation below that represents the line passing through the point (2, -4) with a slope of one half.
y = one half x + 5
y = one half x − 3
y = one half x − 5
y = one half x + 3

The equation that represents the line passing through the point (2, -4) with a slope of one half is

Step-by-step explanation:

The equation of a line can be described by a first order equation in the following format:

In which a is the slope of the line.

Solution:

The line slope is , so .

The equation of the line now is:

The problem states that the line passes through the point(2,-4). This means that when x = 2, f(x) = -4

So:

So, the equation that represents the line passing through the point (2, -4) with a slope of one half is

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