Identify the constant of proportionality from the graph. (1 point)
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The constant of proportionality, k, cannot be determined from the information given in the question.
To determine the constant of proportionality from a graph, you need to find the slope of the line. The constant of proportionality, represented by the variable k, is equal to the slope of the line.
To identify the constant of proportionality, you need to have a graph that represents a proportional relationship, typically in the form of a straight line passing through the origin (0,0). The constant of proportionality, often denoted as k, is the value that relates the x and y values in the relationship y = kx.
To find the constant of proportionality from a graph, you need to determine the ratio of any y-coordinate to its corresponding x-coordinate. Choose any two points on the line and calculate their ratio. This ratio will be equal to the constant of proportionality, k.
Let's say you have two points on the line, (x₁, y₁) and (x₂, y₂). The ratio between their y-coordinates and x-coordinates can be expressed as:
k = (y₂ - y₁) / (x₂ - x₁)
Simply plug in the values of the coordinates into this formula and calculate the ratio. The resulting value will be the constant of proportionality (k) for the given graph.