Answer:
(0,3), (4, -1)
Step-by-step explanation:
we have
[tex]y=-x+3[/tex]
This is a linear equation (The graph is a line)
we know that
If a ordered pair is on the graph of the line, then the ordered pair must satisfy the equation of the line
Verify each case
case 1) (1, 2), (0, -3)
First point
x=1,y=2
substitute in the equation and then compare the result
[tex]2=-1+3[/tex]
[tex]2=2[/tex] ---> is true
so
The first point is on the graph
Second point
x=0,y=-3
substitute in the equation and then compare the result
[tex]-3=-0+3[/tex]
[tex]-3=3[/tex] ---> is not true
so
The second point is not on the graph
therefore
The two points are not on the graph
case 2) (0,3), (4, -1)
First point
x=0,y=3
substitute in the equation and then compare the result
[tex]3=0+3[/tex]
[tex]3=3[/tex] ---> is true
so
The first point is on the graph
Second point
x=4,y=-1
substitute in the equation and then compare the result
[tex]-1=-4+3[/tex]
[tex]-1=-1[/tex] ---> is true
so
The second point is on the graph
therefore
The two points are on the graph
case 3) (-1, -2), (1,4)
First point
x=-1,y=-2
substitute in the equation and then compare the result
[tex]-2=-(-1)+3[/tex]
[tex]-2=4[/tex] ---> is not true
so
The first point is not on the graph
therefore
The two points are not on the graph
case 4) (4, -1), (1,3)
First point
x=4,y=-1
substitute in the equation and then compare the result
[tex]-1=-4+3[/tex]
[tex]-1=-1[/tex] ---> is true
so
The first point is on the graph
Second point
x=1,y=3
substitute in the equation and then compare the result
[tex]3=-1+3[/tex]
[tex]3=2[/tex] ---> is not true
so
The second point is not on the graph
therefore
The two points are not on the graph
