Explanation:
It is given that the line goes through the point (-2, -1). The graph shows it also goes through the point (2, 1). The slope is calculated as ...
rise / run = (y2 -y1)/(x2 -x1) = (1 -(-1))/(2 -(-2)) = 2/4 = 1/2
The point-slope form of the equation for a line with slope m through point (h, k) is ...
y -k = m(x -h)
You have m = 1/2, (h, k) = (-2, -1), so the point-slope equation you want is ...
y -(-1) = 1/2(x -(-2))
y +1 = 1/2(x +2)
_____
The "work" is to find the slope, which you can do by counting squares on the graph, then putting the given numbers into the formula.
