the line passing through point (-2,-1) with slope -1/2
The equation of a line passing through the point (-2,-1) with a slope of -1/2 can be written in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
Given:
Point: (-2,-1)
Slope: -1/2
We can substitute the values into the equation and solve for b:
-1 = (-1/2)(-2) + b
-1 = 1 + b
b = -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.