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
