Final answer:
To find a point on a line parallel to line AB and passing through point Z, we need to calculate the slope of AB and find a point that, when paired with point Z, forms a line with the same slope. The slope of AB using points (1, 0.1) and (7, 26.8) is 4.45.
Step-by-step explanation:
To determine which point lies on the line that is parallel to line AB and also passes through point Z, you would first need to calculate the slope of line AB using the given points on line AB. Any line parallel to AB will have the same slope. Let's calculate the slope.
The formula for finding the slope between two points, (x1, y1) and (x2, y2), is (y2 - y1) / (x2 - x1). Let's calculate the slope using the points on line AB, Point 1: (1, 0.1) and Point 2: (7, 26.8).
Slope of AB = (26.8 - 0.1) / (7 - 1) = 26.7 / 6 = 4.45. So, the slope is 4.45.
Now, we must find which of the proposed points, when paired with point Z (which is not given in the question), yields this same slope. Since the point Z's coordinates are not provided, we cannot definitively answer which of the points a-d is on the line parallel to AB without additional information.