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Which two points are on the graph of y=-x+ 3?

O (1, 2), (0, -3)
O (0,3), (4, -1)
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O (-1, -2), (1, 4)
O (4, -1), (1,3)

User Tsm
by
8.6k points

1 Answer

4 votes

Answer:

(0,3), (4, -1)

Explanation:

we have


y=-x+3

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


2=-1+3


2=2 ---> 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


-3=-0+3


-3=3 ---> 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


3=0+3


3=3 ---> 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


-1=-4+3


-1=-1 ---> 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


-2=-(-1)+3


-2=4 ---> 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


-1=-4+3


-1=-1 ---> 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


3=-1+3


3=2 ---> is not true

so

The second point is not on the graph

therefore

The two points are not on the graph

User Averell
by
8.8k points

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