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 you have an equation of the line in the form y=ax+b then your slope will be a.
Now, the line on the hipotesis is y=-3x-4, then your slope is (-3)
If two lines are parallel, then their slopes are the same. Ergo, the line you're searching has slope (-3)
Finally, you can find the equation of a line if you have the slope and a point. slope is "m", the point is (x1,x2)
y-y1=m(x-x1)
Then, you'll have
y-6=-3(x-2)
y=-3x+12