Final answer:
To find an equation parallel to the given line and passing through the point (-4,-5), we can use the point-slope form and the slope of the given line. The equation is y + 5 = 1/2(x + 4).
Step-by-step explanation:
To find an equation parallel to the given line and passing through the point (-4,-5), we need to use the fact that parallel lines have the same slope. The given line has a slope of 1/2. So, the equation we're looking for should also have a slope of 1/2. Using the point-slope form, we can write the equation as follows:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) are the coordinates of the given point. Plugging in the values, we get:
y - (-5) = 1/2(x - (-4))
Simplifying this equation, we have:
y + 5 = 1/2(x + 4)
This is the equation passing through the point (-4,-5) and parallel to the given line.