To graph the line y = x - 5, plot the y-intercept (0, -5) and use the slope 1 to plot additional points. Draw a straight line through these points to show the linear relationship. The given points do not correspond to this graph and may be for a different equation.
To graph the line y = x - 5, you need to understand that this is a linear equation where the dependence of y on x is direct and the slope of the line is 1.
The y-intercept is at -5, which means this is where the line crosses the y-axis.
To plot the graph, follow these steps:
Firstly, plot the y-intercept (0, -5) on the graph.
Since the slope is 1, you can use the rise over run method.
From the y-intercept, go up 1 unit and right 1 unit to plot the next point (1, -4).
Repeat the rise over run from the new point to plot sufficient points that demonstrate the linear relationship.
Draw a straight line through the plotted points to complete the graph.
The points provided in the table: (1,5), (2,10), (3,7), and (4,14), however, do not fit this equation, suggesting they may be part of a different question or an error.
If plotting a different equation's graph (not y = x - 5) or the points mentioned above, you would plot each point on the graph and examine their relationship.
The above points, for instance, do not line up to form a straight line, indicating they do not represent a linear dependence of y on x, at least not with a positive, unit slope.