Write and equation of a line that is parallel to the line below and passes through the given point

If one line is parallel to another, that means the two lines have the same slope.  Therefore, since the line you are creating is parallel to the line y = -2/3x - 5, it's slope must be the same, -2/3.  Additionally, you know it passes through the point (-3, 11).

If you don't remember the slope-intercept equation, it looks like this:
y = mx + b, where m is the slope, b is the y-intercept, and x and y are, well, x and y.

Let's plug in the slope we know it must have (-2/3)  and plug in the (x, y) coordinates we were provided so that we can find b.
11 = -2/3(-3) + b

Solve for b:
11 = 2 + b
9 = b

Now we know our slope and our y-intercept, after solving for it, so we can write our final equation!

The answer is: y = -2/3x + 9