Answer:
The line would be y = -1/4x + 27/4
Step-by-step explanation:
In order to find this, we first need to note that the original slope is -1/4. And since parallel lines have the same slope, we know our new line will have that same slope. Now, we can use that slope and the point in point-slope form and solve for y.
y - y1 = m(x - x1)
y - 6 = -1/4(x - 3)
y - 6 = -1/4x + 3/4
y = -1/4x + 27/4