Question

Select all statements that are true about the linear equation y = -2x+4

The point (1, 2) lies on the the graph of the equation.


The equation 2x + y = 4 is represented by the same graph.


The graph of the equation is the set of all points on the coordinate plane.


The graph of the equation is the set of points that are solutions to the equation.


The point (0, 2) lies on the graph of the equation.

Answer 1

y = -2x + 4

(1,2) lies on the graph.....TRUE

2x + y = 4 is represented by same graph....TRUE

the graph is the set of all points....FALSE

the graph is the set of points that are solutions....TRUE

(0,2) lies on the line....FALSE

Answer 2

A,B,D

Explanation:

We are given that an equation

`y=-2x+4`

We have to find the true statements about given linear equation.

When substitute x=1

Then, we get

`y=-2(1)+4=2`

Therefore, point (1,2) lie on the graph of the equation .

`y=-2x+4`

`y+2x=4`

Hence, the equation
`2x+y=4` is represented by the same graph.

When substitute x=0 then , we get

`y=-2(0)+4=4`

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