Final answer:
To find the slope-intercept form of a line parallel to y = -1/2x + 5 and passing through the point (-4, -3), we use the point-slope form of a line to obtain y = -1/2x + 1.
Step-by-step explanation:
To find the slope-intercept form of a line parallel to y = -1/2x + 5 and passing through the point (-4, -3), we first note that parallel lines have the same slope. So, the slope of the line we want to find is -1/2. Now, we can use the point-slope form of a line, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. Plugging in the values, we get y - (-3) = -1/2(x - (-4)). Simplifying this equation gives us the slope-intercept form of the line, which is y = -1/2x + 1.