To show that y=x+1 and y=3x+1 have infinite solutions graphically, we can plot both equations on the same graph.
First, let's plot y=x+1:
- When x=0, y=1
- When x=1, y=2
- When x=2, y=3
- When x=-1, y=0
Next, let's plot y=3x+1:
- When x=0, y=1
- When x=1, y=4
- When x=2, y=7
- When x=-1, y=-2
By plotting both equations on the same graph, we can see that they intersect at the point (3,10) and (0,1). Since both equations have infinite solutions, the lines will never intersect and run parallel to each other. This confirms that y=x+1 and y=3x+1 have infinite solutions graphically.
Plug in (3,10) and (0,1) to show that y=x+1 and y=3x+1 have infinite solutions graphically
3 answers
Are you sure thats right? Try again but make sure its accurate
My apologies for the mistake. Let's try plotting the equations again to accurately represent the scenario.
First, let's plot y=x+1:
- When x=0, y=1
- When x=1, y=2
- When x=2, y=3
- When x=-1, y=0
Next, let's plot y=3x+1:
- When x=0, y=1
- When x=1, y=4
- When x=2, y=7
- When x=-1, y=-2
Now, let's plot both equations on the same graph:
The graph shows that the two lines intersect at the point (0,1) and (3,10). Since the lines intersect at two distinct points, the system of equations y=x+1 and y=3x+1 has a unique solution, rather than infinite solutions. Thank you for pointing out the error, and I appreciate your attention to accuracy.
First, let's plot y=x+1:
- When x=0, y=1
- When x=1, y=2
- When x=2, y=3
- When x=-1, y=0
Next, let's plot y=3x+1:
- When x=0, y=1
- When x=1, y=4
- When x=2, y=7
- When x=-1, y=-2
Now, let's plot both equations on the same graph:
The graph shows that the two lines intersect at the point (0,1) and (3,10). Since the lines intersect at two distinct points, the system of equations y=x+1 and y=3x+1 has a unique solution, rather than infinite solutions. Thank you for pointing out the error, and I appreciate your attention to accuracy.