Find the equation of the line that goes through the point (0, 4) and is parallel to the line y=3x
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[tex]\huge\boxed{\sf{Hi\;there!}}[/tex]
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:
[tex]\bigstar[/tex] [tex]\sf{y-y1=m(x-x1[/tex]
[tex]\bigstar[/tex] [tex]\sf{y-4=3(x-0)[/tex]
[tex]\bigstar[/tex] [tex]\sf {y-4=3x[/tex]
[tex]\bigstar[/tex] [tex]\sf {y=3x+4[/tex]
[tex]\huge\boxed{\boxed{Answer:\;y=3x+4}}}[/tex]
[tex]\huge\bold{Hope\;it\;helps\;you.\;Good\;luck\;and\;have\;a\;nice\:day.}[/tex]
[tex]\boxed{AmiableTeen:)}[/tex]