Question

A line, Z, has equation y = 5x + 3.
Write down an equation of a line parallel to line Z.

Answer 1

`\huge\boxed{\boxed{Hello\;there!}}`

Parallel lines have the same slope.

Since the given line has a slope of 5, the slope of the line parallel to the given line is 5 as well.

Now, there are lots of equations with a slope of 5.

y=5x-3

y=5x+2

And so on...

`\huge\boxed{\sf{Hope\;it\;helps!\;Good\;luck!}}`

`\rm{StillEnjoyingLife` :)

Answer 2

`\huge\underline\color{purple}{Answer \: ☘}`

`y = 5x`

Explanation:

`as \: the \: line \: is \: parallel \: to \: line \: z \\ hence , \\ set \: the \: equation \: of \: the \: line \: as \\ y = kx + b \\ \\given... \\ y = 5x + 3 \\ comparing \: the \: equations \: we \: get \: \\ k = 5 \\ \\ hence \: the \: equation \: can \: be \: y = 5x`

hope helpful~