Answer:
A,B,D
Step-by-step explanation:
We are given that an equation
[tex]y=-2x+4[/tex]
We have to find the true statements about given linear equation.
When substitute x=1
Then, we get
[tex]y=-2(1)+4=2[/tex]
Therefore, point (1,2) lie on the graph of the equation .
[tex]y=-2x+4[/tex]
[tex]y+2x=4[/tex]
Hence, the equation [tex]2x+y=4[/tex] is represented by the same graph.
When substitute x=0 then , we get
[tex]y=-2(0)+4=4[/tex]
The, point (0,2) does not lie on the graph.
The point (0,2 ) lies in coordinate plane but it does not lie on the graph.Therefore, the graph of equation is not a set of all points on the coordinate plane.
When substitute x=3
Then, we get y=-2(3)+4=-2
The point (3,-2) lies on the graph.
Hence, the graph of the equation is the set of points of solutions of given equation.
Answer: A,B and D
