To determine the initial value (intercept) of the linear function, we can look at the y-coordinate when x = 0. From the graph, we see that when x = 0, y = 0. Therefore, the initial value is 0.
To determine the rate of change (slope) of the linear function, we can use the formula for slope: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are any two points on the line. Let's use the points (0,0) and (2,3) to calculate the slope.
m = (3 - 0) / (2 - 0)
m = 3/2
Therefore, the rate of change (slope) of the linear function is 3/2.
Determine the initial value and the rate of change of the linear function given in the graph.
(0,0)
(2,3)
The initial value is , and the rate of change is .
1 answer
1 answer