Answer:
[tex]y=2x+1[/tex]
Explanation:
The point is [tex](3,7)[/tex]
The line is [tex]y=2x+4[/tex]
The slope of the line [tex]m=2[/tex] will be the same for both the lines
The line passing through the point parallel to the given line is given by
[tex]y-y_1=m(x-x_1)\\\Rightarrow y-7=2(x-3)\\\Rightarrow y-7=2x-6\\\Rightarrow y=2x-6+7\\\Rightarrow y=2x+1[/tex]
The equation of the line passing through [tex](3,7)[/tex] and parallel to [tex]y=2x+4[/tex] is [tex]y=2x+1[/tex].
