Question

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

Answer 1

`y=2x+1`

Step-by-step explanation:

The point is
`(3,7)`

The line is
`y=2x+4`

The slope of the line
`m=2` will be the same for both the lines

The line passing through the point parallel to the given line is given by

`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`

The equation of the line passing through
`(3,7)` and parallel to
`y=2x+4` is
`y=2x+1`.