Question

Select ALL statements that are true about the linear equation:

Y
=
-
2x + 4
**Hint
:
(You may have to select more than one answer.)
A.
The graph of the equation is the set of all points on the coordinate plane
.
B.
T
he
point (1, 2) lies on the graph of the equation.
C.
The graph of the equation
is the set of points that are solutions to the equ
ation.
D.
The point (0, 2) lies on the graph of the equatio

Answer 1

The top answer is correct :))

Answer 2

we have

`y=-2x+4` ---------> equation
`1`

using a graph tool

see the attached figure

Statements

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

This statement is False

Because

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

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

This statement is True

see the attached figure

Verify

For
`x=1` find the value of y in the equation
`1` and compare with the y-coordinate of the point

so

`y=-2*1+4=2`

`2=2` --------> the point lies on the graph

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

This statement is true

All ordered pairs (x,y) that satisfy
`y=-2x+4` are solutions of the equation

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

This statement is false

see the attached figure

Verify

For
`x=0` find the value of y in the equation
`1` and compare with the y-coordinate of the point

so

`y=-2*0+4=4`

`4\\eq2` --------> the point not lies on the graph