determine the initial value and the rate of change of the linear function given in the graph.
(2,3) (0,0)
To determine the initial value and the rate of change of the linear function given in the graph, we can use the two points provided (2,3) and (0,0).
First, let's calculate the rate of change (slope) of the linear function using the formula:
slope = (y2 - y1) / (x2 - x1)
slope = (3 - 0) / (2 - 0)
slope = 3 / 2
slope = 1.5
Now that we have the slope, we can use one of the points (0,0) to determine the initial value (y-intercept) of the linear function.
y = mx + b
0 = 1.5(0) + b
0 = 0 + b
b = 0
Therefore, the initial value (y-intercept) of the linear function is 0 and the rate of change (slope) is 1.5.
determine the initial value and the rate of change of the linear function given in the graph.
(-3,2.5) (0.1) (2.0)
To determine the initial value and rate of change of the linear function given the points (-3, 2.5), (0, 1) and (2, 0), we can use the formula for the slope of a line:
slope = (y2 - y1) / (x2 - x1)
First, let's calculate the slope using the points (-3, 2.5) and (0, 1):
slope = (1 - 2.5) / (0 - (-3))
slope = (-1.5) / 3
slope = -0.5
Now that we have the slope, we can use one of the points to determine the initial value (y-intercept) of the linear function. Let's use the point (0, 1):
y = mx + b
1 = (-0.5)(0) + b
b = 1
Therefore, the initial value (y-intercept) of the linear function is 1 and the rate of change (slope) is -0.5.