Based on the given information, the initial value (y-intercept) of the line can be determined by observing the point where the line crosses the y-axis. In this case, the line passes through the point (0,0), so the initial value is 0.
To find the rate of change (or slope) of the line, we can use the two plotted points (0,0) and (2,3). The formula for finding the slope between two points (x₁, y₁) and (x₂, y₂) is given by:
slope = (y₂ - y₁) / (x₂ - x₁)
Using the coordinates given, the slope of the line can be calculated as:
slope = (3 - 0) / (2 - 0)
= 3/2
Therefore, the rate of change is 3/2.
use the image to answer the question.
the image shows a line going from around (-3.5,-5.2) to (3.3,5.2) there are two plotted points which are: (0,0) and (2,3)
the initial value is (blank). And the rate of cange is (blank)
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