Identify the constant of proportionality from the graph. (1 point)
Without the graph provided, it is not possible to identify the constant of proportionality.
To identify the constant of proportionality from a graph, you need to look at the slope of the line. The slope represents the rate at which the dependent variable (y-axis) changes with respect to the independent variable (x-axis).
If the graph is a straight line that passes through the origin (0,0), then the constant of proportionality is equal to the slope of the line. In this case, you can calculate the constant of proportionality by choosing any two points on the line and calculating the change in the dependent variable divided by the change in the independent variable.
If the graph is not a straight line passing through the origin, then the constant of proportionality is not directly observable from the graph.
To identify the constant of proportionality from a graph, you need to examine the relationship between the variables shown on the graph.
If the relationship between the variables is directly proportional, this means that as one variable increases, the other variable also increases by a fixed amount. Mathematically, this can be represented as y = kx, where y is the dependent variable, x is the independent variable, and k is the constant of proportionality.
To find the constant of proportionality from the graph, you can choose two points on the graph that lie on the same line. Then, you can calculate the ratio of the change in the dependent variable (y) to the change in the independent variable (x). This ratio will be equal to the constant of proportionality (k).
For example, if you choose two points (x1, y1) and (x2, y2) on the graph, the constant of proportionality (k) can be calculated as:
k = (y2 - y1) / (x2 - x1)
By calculating this ratio using any two points on the graph, you can determine the constant of proportionality.