Answer:
y = -x - 3.
Explanation:
To find the equation of a line given a point and the slope, we can use the point-slope form of a linear equation, which is:
y - y₁ = m(x - x₁)
Given:
Point: (-1, -2)
Slope: -1
We can substitute the values into the point-slope form and solve for y:
y - (-2) = -1(x - (-1))
y + 2 = -1(x + 1)
y + 2 = -x - 1
Simplifying the equation further:
y = -x - 1 - 2
y = -x - 3
Therefore, the equation of the line through the point (-1, -2) with a slope of -1 is y = -x - 3.