what is that rate of change of a line that passes through (-4,2) (-3,1) ((-2,0) (-1,-1) (0,-2) (1,-3) (2,-4)
To find the rate of change (slope) of a line, we can use the formula:
slope = (change in y) / (change in x)
Let's calculate the slope using the given points:
1. For (-4,2) and (-3,1):
change in y = 1 - 2 = -1
change in x = -3 - (-4) = 1
slope = (-1) / (1) = -1
2. For (-3,1) and (-2,0):
change in y = 0 - 1 = -1
change in x = -2 - (-3) = 1
slope = (-1) / (1) = -1
3. For (-2,0) and (-1,-1):
change in y = -1 - 0 = -1
change in x = -1 - (-2) = 1
slope = (-1) / (1) = -1
4. For (-1,-1) and (0,-2):
change in y = -2 - (-1) = -1
change in x = 0 - (-1) = 1
slope = (-1) / (1) = -1
5. For (0,-2) and (1,-3):
change in y = -3 - (-2) = -1
change in x = 1 - 0 = 1
slope = (-1) / (1) = -1
6. For (1,-3) and (2,-4):
change in y = -4 - (-3) = -1
change in x = 2 - 1 = 1
slope = (-1) / (1) = -1
Therefore, the rate of change (slope) of the line passing through these points is -1.