Question

Select all statements that are true about the linear equation.

y=−2x+4



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

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

Answer 1

the graph is all the solutions to the equation bthat statement is true

the point ,(1,2) does lie on the graph

the other 2 are false

Answer 2

The correct Option are B and C.

Explanation:

Consider the provided linear equation.

y=−2x+4

Consider the provided options.

Option A)

The graph of the equation is the set of values which satisfy the equation.

The graph of the equation is only one line, whereas the set of all points on the coordinate plane means the whole plane.

Thus, the option A) is False.

Option B)

The solution to the equation means the set of values which satisfy the equation.

Thus, the option B) The graph of the equation is the set of points that are solutions to the equation is correct.

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

Substitute x=1 and y=2 in the provided equation.

2=−2(1)+4

2=−2+4

2=2

Which is true.

Hence, the option C) The point (1, 2) lies on the the graph of the equation is correct.

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

Substitute x=0 and y=2 in the provided equation.

2=−2(0)+4

2=4

Which is false.

Hence, the option D) The point (1, 2) lies on the the graph of the equation is incorrect.