Answer: FIRST OPTION.
Step-by-step explanation:
First, it is important to remember that the Slope-Intercept form of the equation of a line is the shown below:
[tex]y=mx+b[/tex]
Where "m" is the slope of the line and "b" is the y-intercept.
By definiton, given a System of Linear equations, if they are exactly the same line, then the System of equations have Infinely many solutions.
In this case you have the following System of Linear equations given in the exercise:
[tex]\left \{ {{y=-2x+5} \atop {y=ax+b}} \right.[/tex]
So, since you need the system has Infinite solutions, you know that the slope and the y-intercept of both lines must be equal.
Therefore, you can identify that the value of "a" and "b" must be the following:
[tex]a=-2\\\\b=5[/tex]
So the Linear System would be the shown below:
[tex]\left \{ {{y=-2x+5} \atop {y=-2x+5}} \right.[/tex]
