Final answer:
The slope of the line passing through the points (3, 5) and (7, 9) is calculated using the slope formula and is found to be 1.
Step-by-step explanation:
Finding the Slope of a Line Between Two Points:
To find the slope of a line passing through two given points, such as (3, 5) and (7, 9), you will want to use the formula for the slope of a line, which is (y2 - y1) / (x2 - x1). By substituting the values from our points into this formula, we get:
Slope = (9 - 5) / (7 - 3) = 4 / 4 = 1.
So, the correct answer is (a) 1. The slope indicates that for every one unit you move to the right on the horizontal axis, you will move up by one unit on the vertical axis on the graph of the line.