Final answer:
To find the slope of a line passing through two points, use the slope formula. For the points (2, -3.5) and (4, 5.5), the slope is 4.5. This is calculated by dividing the difference in y-coordinates by the difference in x-coordinates. The correct answer is option O 9/2
Step-by-step explanation:
The slope of a line that passes through two points can be determined using the slope formula, which is the difference in the y-coordinates divided by the difference in the x-coordinates. This formula can be expressed as m = (y2 - y1) / (x2 - x1), where m represents the slope and (x1, y1) and (x2, y2) are the coordinates of the two points.
For the points given in the question (2, -3.5) and (4, 5.5), we can substitute these into our slope formula to find:
m = (5.5 - (-3.5)) / (4 - 2) = 9 / 2 = 4.5.
Therefore, the slope of the line passing through the points (2, -3.5) and (4, 5.5) is 4.5.