Question

Choose the equation of the line passing through the point (2, 6) and parallel to y = -3x - 4.

y = 3x - 12

y = -3x

y = -3x + 12

y = 3x

Answer 1

if it's parallel to y = -3x -4, it means it has the SAME slope. -3 = m, where m is the slope.
(of the equation y = mx +b)

so all ya gotta do is plug all the values (-3 = m, and your point (2,6)) together to find a new line parallel to that one:

y - y1 = m(x - x1)
y - 6 = -3(x - 2)
y - 6 = -3x + 6
y = -3x