To determine the error(s), let's begin by analyzing the given equation. Then we can draw the correct graph.
Let's start by recalling the slope-intercept form of a line. In the above formula, is the slope and is the intercept. Let's now write the given equation. We can see that the slope is This means that to get from one point on the line to another, we should move units down and unit to the right. We can also see that the intercept is The graph should cross the axis at the point
Now, let's take a look at the drawn graph.
In the graph we can see that Ron-Jon marked the intercept at Additionally, to move from this to the -intercept, we move units to the right and units up. Let's use these values to see what slope Ron-Jon's graph has. Thus, Ron-Jon's graph has the slope Let's summarize this information and the one obtained from the equation.
We can see that the mistake Ron-Jon made when he tried to graph the function was that he switched the slope and the intercept. Let's graph the equation correctly. The intercept is at Using that the slope is we can find one more point on the graph. Thus, we can find another point on the graph unit to the right and units down.
We draw the graph by connecting these points with a line.