Can you explain this to me

What is the equation of the line passing through the point (-3, 1) and parallel to y = -x - 4

Can you explain how to solve something like this?

The parallel part tells you that the slope of the new line is the same as the old one. y = - x - 4 means that there is a slope of -1 on the old line. (Whatever is infront of the x is the slope.

Now you have to use the information given by the point.

x = -3
y = 1

y = mx + b
y = -1x + b
1 = -1(-3) + b
b = 4

The new line's equation is
y = -x + 4