The slope of a line is the ratio of the change in the y-coordinate to the change in the x-coordinate between any two points on the line. In this case, the slope of the line is 2, which means that for every 1 unit that we move to the right, we need to move up 2 units to stay on the line.
The y-intercept of the line is –6, which means that the line passes through the point (0, –6).
To graph the line, we can start by plotting the y-intercept point (0, –6). Then, we can use the slope to find other points on the line. Since the slope is positive, we know that the line will be upward sloping.
The correct statement is: Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
To find the next point on the line, we can move up 2 units from the y-intercept point (0, –6) and then move 1 unit to the right. This gives us the point (1, –4). We can continue this process to find other points on the line, or we can use the two points we have found to draw a straight line that extends infinitely in both directions.
Therefore, the correct way to graph the function is to locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.