Respuesta :

Answer:

The parallel line would have an equation of y = -x - 2

Step-by-step explanation:

In order to find the equation of this line, we first have to note that parallel lines have same slopes. Therefore, since the original line has a slope of -1, we know the new line will have a slope of -1. Now we can use that information along with the given point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 3 = -1(x + 5)

y - 3 = -x - 5

y = -x - 2