We are given the following equation of a line:

We are asked to determine the y-intercept. To do that we need to convert the equation into the following form:

Where "b" is the y-intercept.
To convert the equation we will solve for "y" first by subtracting "5x" from both sides:

Now, we divide both sides by -2:

Now we simplify the fractions:

Therefore, the y-intercept is -4.