Answer: y=1
Step-by-step explanation:
In the given picture , we have a line that is parallel to x-axis and passing through (2,1) and (-4,1).
The slope of the lien parallel to x-axis is 0 [∵ slope of x-axis is 0 and slope of two parallel lines are equal. ]
Equation of a line passing through two points (a,b) and has slope m is given by :-
[tex](y-b)=m(x-a)[/tex]
Put (a,b) = (2,1) and m = 0 , we get
[tex](y-1)=(0)(x-2)\\\\ y-1=0\\\\ y=1[/tex]
Hence, the equation of the given line is : y=1
