Answer
• a) The last graph, in which the y-intercept is at (0, 0).
• b) The second graph, in which the y-intercept is at (0, 4).
,
• c) The second graph, in which the y-intercept is at (0, –4).
Explanation
The linear function can be written in the slope-intercept form:
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept.
As all the given functions have the same slope, the difference is in the y-intercept.
• A)
In case a, b = 0, meaning that the graph will intersect the y-axis (vertical axis) in the point (0, 0):
• B)
On the other hand, the y-intercept, in this case, is at (0, 4) as b = 4. Thus:
• C)
The last function would correspond to the graph where the y-intercept is at (0, –4) as b = –4. Thus:
