Final answer:
To find the equation of a line with a slope of -1 that passes through the point (2, -4), we can use the point-slope form of a linear equation.
Step-by-step explanation:
To find the equation of a line with a slope of -1 that passes through the point (2, -4), we can use the point-slope form of a linear equation. The equation is given by:
y - y1 = m(x - x1)
where (x1, y1) is the given point and m is the slope. Plugging in the values, we get:
y - (-4) = -1(x - 2)
Simplifying, we have:
y + 4 = -x + 2
y = -x - 2 - 4
y = -x - 6