A price for football is displayed in the graph, derive the equation of the propositional relationship through the origin
To derive the equation of the propositional relationship through the origin, we need to find the slope of the line that represents the relationship in the graph.
The slope of a line passing through the origin can be calculated by taking the ratio of the change in y (price) to the change in x (quantity).
Let the price be represented by P and the quantity by Q. From the graph, we can see that when the price is 0, the quantity is also 0. This is because the line passes through the origin.
Therefore, we can use the two points (0,0) and another point on the line to find the slope.
Let's take another point on the line, say (Q1, P1).
The slope of the line passing through the two points (0,0) and (Q1, P1) can be calculated as:
Slope = (P1 - 0) / (Q1 - 0) = P1 / Q1
Since the relationship is propositional, this slope will be constant for all points on the line.
Therefore, the equation of the propositional relationship through the origin can be represented as:
P = mQ
where m is the slope of the line passing through the origin.