Final answer:
The equation of the line parallel to y = 0.5x - 1 and passing through the point (-3, 3) is y = 0.5x + 4.5.
Step-by-step explanation:
To find the equation of a line that is parallel to the given line y = 0.5x - 1 and passes through the point (-3, 3), we first recognize that parallel lines have the same slope. Therefore, the slope of our new line will be the same as the given line, which is 0.5.
Next, we use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is the given point. Plugging our values in:
y - 3 = 0.5(x + 3)
Now we simplify the equation:
y - 3 = 0.5x + 1.5
Add 3 to both sides to get the y-intercept:
y = 0.5x + 4.5
Therefore, the equation of the parallel line that passes through the point (-3, 3) is y = 0.5x + 4.5.