Find the equation of the line that:

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

Point-Slope:  (y - 4) = 3(x - 0)

y=mx + b:  y = 3x + 4

Step-by-step explanation:

When a line is parallel, that means that it has a different y-intercept but the same slope.

So, the slope of the new line is the same:  3

Step 1:  Use point slope form

(y - y1) = m(x - x1)

(y - 4) = 3(x - 0)

(y - 4) = 3x

Step 2:  If needed convert to y = mx + b

y - 4 + 4 = 3x + 4

y = 3x + 4