Final answer:
To find the equation of a line parallel to y = (2/3)x + 1 and passing through the point (-5, -2), we can use the point-slope form of a line.
Step-by-step explanation:
To find the equation of a line parallel to y = (2/3)x + 1 and passing through the point (-5, -2), we need to use the fact that parallel lines have the same slope. The given line has a slope of 2/3, so the parallel line will also have a slope of 2/3. Using the point-slope form of a line, the equation of the parallel line can be written as:
y - y1 = m(x - x1)
Substituting the coordinates of the given point and the slope, we get:
y + 2 = (2/3)(x + 5)
Simplifying this equation gives us the answer:
y = (2/3)x - 13/3