the line passing through point (-2, -1) with slope -1/2
To find the equation of the line passing through the point (-2, -1) with a slope of -1/2, we can use the point-slope form of a linear equation.
The point-slope form is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
Substituting the given values, we get:
y - (-1) = (-1/2)(x - (-2))
Simplifying, we have:
y + 1 = (-1/2)(x + 2)
Expanding the equation further, we have:
y + 1 = (-1/2)x - 1
Subtracting 1 from both sides, we get:
y = (-1/2)x - 2
Therefore, the equation of the line passing through the point (-2, -1) with a slope of -1/2 is y = (-1/2)x - 2.