Final answer:
The possible formula for the given graph is y = 2x - 5.
Step-by-step explanation:
This is a linear equation in slope-intercept form, where the coefficient of x is the slope of the line and the constant term is the y-intercept.
To understand this equation and its graph, let's break it down:
- 1. The coefficient of x, which is 2, represents the slope of the line. It tells us that for every unit increase in x, the corresponding y-value increases by 2 units. In other words, the line goes up by 2 units vertically for every 1 unit it moves to the right horizontally.
- 2. The constant term, which is -5, represents the y-intercept. It indicates the point where the line intersects the y-axis. In this case, the line intersects the y-axis at the point (0, -5).
By connecting these points and extending the line in both directions, we can plot the graph of the equation. The graph will be a straight line with a slope of 2 and y-intercept at -5.