Answer:
y = (-1/2)(x + 5)
Explanation:
According to this graph, the line passes through the points (-5, 0) and (1, -3).
As we move from (-5, 0) to (1, -3), x increases by 6 and y decreases by 3. Thus, the slope, m, is m = rise / run = -3/6, or m = -1/2.
Let's apply the point-slope formula and involve the point (-5, 0):
y - 0 = (-1/2)(x + 5), or
y = (-1/2)(x + 5).
Of course this could be written in other forms:
Performing the indicated multiplication yields y = (-1/2)x - 5/2, which is the slope-intercept form.