We are asked to find the equation of a line. Let's remember the general form of a line equation:

Where "m" is the slope and "b" the y-intercept. We are told that the line has a slope of 5, replacing that into the equation we get:

Now, we are also told that the line passes through the point (-6,-7), which means that when x = -6, y = -7. We can use this to find "b", replacing in the equation, like this:

Solving the operations:

Now we solve for "b", first by adding 30 on both sides:

Replacing the value of "b" into the equation of the line:

And this is the equation of the line