Write an equation in slope-intercept
form to represent the line parallel to
3x - y = 5 passing through the point
(-1,-2).

For this case we have that, by definition, the equation of a line in the slope-intersection form is given by:

Where:

m: It's the slope

b: It is the cut-off point with the y axis

On the other hand, we have that if two lines are parallel then their slopes are equal.

We have the following equation of the line:

Rewriting we have:

Thus, the slope of the lines is

Then, a parallel line will have slope

Thus, the equation of the new line will be given by:

To find the cut-off point "b", we substitute the point through which the line passes:

Finally the equation is: