At how many points do the graphs of the equations $y=x+4$ and $y=x-1$ intersect in the $xy$-plane?
Answer:
A
Explanation
The correct answer is Choice A.
Since the two given equations are both linear, they can cross at a point, overlap entirely, or simply be parallel and never intersect each other.
Alternatively, Substitute $y$ from the first equation into the second equation to calculate the intersection points of the two equations which will give the number of intersections.
Choices B, C, and D are incorrect since there are no intersections.
✨ Expert's Tip ✨
An alternate method is to plot both equations on a graph and find the number of intersection points.