Final answer:
To find the equation of a line parallel to y = -2x - 5 and passing through the point (-4,-5), use the fact that parallel lines have the same slope. Plug in the slope and point coordinates into the equation y = mx + b.
Step-by-step explanation:
To find the equation of a line that is parallel to y = -2x - 5 and goes through the point (-4,-5), we can use the fact that parallel lines have the same slope. The given line has a slope of -2. So, the equation of the parallel line is y = mx + b, where m is the slope and b is the y-intercept. Plugging in the slope (-2) and the coordinates of the point (-4,-5) into the equation, we get y = -2x + 3.