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Find an equation of the line through (3,7) and parallel to y = 2x + 4 write the equation using function equation

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boffeemadrid

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].

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