Question

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

Answer 1

Answer:

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

Step-by-step 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