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)