The points on the graph are (-1.5,-3), (0,0) and (0.5,1) Determan the initial value and rate change
To determine the initial value and rate of change, we need to find the equation of the graph.
First, let's find the rate of change, also known as the slope of the line. We can use the formula for slope:
slope = (y2 - y1) / (x2 - x1)
Using the points (-1.5, -3) and (0, 0):
slope = (0 - (-3)) / (0 - (-1.5)) = 3 / 1.5 = 2
So, the rate of change is 2.
Now, let's find the initial value by substituting one of the points and the slope into the slope-intercept form of a line (y = mx + b), where m is the slope and b is the initial value.
Using the point (0, 0) and the slope of 2:
0 = 2(0) + b
0 = b
Therefore, the initial value (b) is 0.
So, the equation of the line is y = 2x + 0, which simplifies to y = 2x.
Therefore, the initial value is 0, and the rate of change is 2.