Question

Find the equation of the line that goes through the point (0, 4) and is parallel to the line y=3x

Answer 1

`\huge\boxed{\sf{Hi\;there!}}`

Parallel lines have the same slope.

The given line has a slope of 3, therefore, the line parallel to the given line has a slope of 3.

Now, we have the slope of the line and a point that it passes through.

So, we can use the Point-Slope formula:

`\bigstar`
`\sf{y-y1=m(x-x1`

`\bigstar`
`\sf{y-4=3(x-0)`

`\bigstar`
`\sf {y-4=3x`

`\bigstar`
`\sf {y=3x+4`

`\huge\boxed{\boxed{Answer:\;y=3x+4}}}`

`\huge\bold{Hope\;it\;helps\;you.\;Good\;luck\;and\;have\;a\;nice\:day.}`

`\boxed{AmiableTeen:)}`