To find the equation of the line passing through the point (-3, -1) with a slope of -2, we can use the point-slope form of the equation of a line, which is (y - y_1 = m(x - x_1)). Substituting the point (-3, -1) and the slope (-2) into the formula, we get:
[y - (-1) = -2(x - (-3))]
This simplifies to:
[y + 1 = -2(x + 3)]
Further simplifying gives the equation:
[y = -2x - 7].
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