Answer:
Statements 3 and 4 are true regarding the linear equation y=(-2)x+4
Step-by-step explanation:
The linear equation provided is y=(-2)x+4
Now,
Statement 1: The graph of this equation encompasses all points on the coordinate plane.
No,
The graph represents only the set of points defined by this line's equation.
Statement 2: The point (0,2) lies on the graph of this equation.
No,
The linear equation is y=(-2)x+4
To check point (0,2)
2=(-2)0+4
2=4
FALSE. The point (0,2) is not part of the graph for this equation.
Statement 3: The graph of the equation consists of points that are solutions to the equation.
Yes,
The given linear equation describes a line, and all points on that line correspond to solutions of the equation.
Statement 4: The point (1,2) is on the graph of the equation.
Yes,
The linear equation is y=(-2)x+4
To check point (1,2)
2=(-2)1+4
2=2
TRUE. The point (1,2) does indeed lie on the graph of this equation.