Using the points shown in the graph, identify the constant of proportionality for this graph
In order to identify the constant of proportionality for this graph, we need to calculate the slope of the line. The slope represents the rate at which one variable (y-axis) changes with respect to the other variable (x-axis).
If we choose any two points on the line, we can calculate the slope using the formula:
Slope = (change in y) / (change in x)
Let's choose two points: (2, 6) and (4, 12).
change in y = 12 - 6 = 6
change in x = 4 - 2 = 2
Slope = 6 / 2 = 3
Therefore, the constant of proportionality for this graph is 3.
To determine the constant of proportionality for a graph, we need to first identify two points on the graph. Let's select two points on the line.
Looking at the graph, let's select the points (2, 4) and (4, 8). This means that when x is 2, y is 4, and when x is 4, y is 8.
Next, using the formula for constant of proportionality, we can find the ratio of the y-coordinates to the x-coordinates.
Constant of proportionality (k) = y-coordinate / x-coordinate
For the two points we selected, the calculations are as follows:
- For the point (2, 4)
k = 4/2 = 2
- For the point (4, 8)
k = 8/4 = 2
Therefore, the constant of proportionality for this graph is 2.
To determine the constant of proportionality for a graph, we need to identify the relationship between the two variables plotted and find the ratio between them.
If the graph represents a proportional relationship, the ratio of the corresponding y-values to x-values should remain constant throughout. In other words, the slope of the graph should be constant.
To find the constant of proportionality, follow these steps:
1. Select two points on the graph that lie on the line.
2. Identify the x and y-values of these points.
3. Calculate the ratio between the y-values and x-values.
Let's assume we have two points: (x₁, y₁) and (x₂, y₂).
The constant of proportionality (k) is calculated as:
k = (y₂ - y₁) / (x₂ - x₁)
By using any two points on the plotted graph, you can find the constant of proportionality.