The equation of a line can be predicted easily if two points are given. Thus, the equation of the required line is [tex]\bold{y=4}[/tex].
We need to determine the equation of the line with the help of the given graph.
Now, take two points from the graph. The points are ( 1, 4 ) and ( 2, 4 ).
The if a line passed through the two points say [tex](x_1,y_1)\;\rm{and}\;(x_2,y_2)[/tex], then the equation of the line can be formulated as:
[tex](y-y_1)=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Therefore, apply the formula and solve it further.
[tex]\begin{aligned} (y-4)&=\dfrac{4-4}{3-2}(x-1)\\y-4&=0\\y&=4 \end{aligned}[/tex]
Thus, the equation of the line is [tex]\bold{y=4}[/tex]
To know more about the equation of the line, please refer to the link:
https://brainly.com/question/20632687
