Respuesta :

Answer:

Gradient = -1

Step-by-step explanation:

Since the graph shows a downward-sloping line, then it means that it will have a negative gradient. From point (-4, 0), the next point occurs at (-3, -1). This means that the point moved 1 unit down (-1 ), and 1 unit towards the right.  

Therefore, the gradient is: -1/1 or -1.

For your reference:  to prove that my answer is correct, we can substitute the points into the slope formula:

m = (y2 - y1)/(x2 - x1)

m = [-3 - (-4)] / (-1 - 0)

m = (-3 + 4) /(-1 - 0)

m = 1/-1 = -1