Question

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

Answer 1

Answer:

Statement 3 and Statement 4 are true about linear equation is y=(-2)x+4

Step-by-step explanation:

The given linear equation is y=(-2)x+4

Now,

Statement 1: The graph of the equation is the set of all points on the coordinate plane.

No,

The graph of equation is set of points on the given equation of line.

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

No,

The linear equation is y=(-2)x+4

For point (0,2)

2=(-2)0+4

2=4

FALSE, The point (0,2) does not lies on the graph of the equation.

Statement 3: The graph of the equation is the set of points that are solutions to the equation.

Yes,

The given linear equation is line and set of all point lies on the line are solution of the equation.

Statement 4: The point (1,2) lies on the the graph of the equation.

Yes,

The linear equation is y=(-2)x+4

For point (1,2)

2=(-2)1+4

2=2

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