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es through the point (-4, 2) and has a slope of -1?
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Answer 1

The equation of the line through the point (-4, 2) and has a slope of -1 is:

y - 2 = -(x + 4)

How to find lines with these characteristics?

For a given point (h, k) and a slope a, we can find a single line, which can be written as:

y - k = a*(x - h)

Here we know that the slope is -1, while the given point is (-4, 2), then the equation of this line will be:

y - 2 = -1*(x - (-4))

y - 2 = -(x + 4)