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:

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

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

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

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

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

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

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