Calculate the slope of the line through the points (2, 3) and (5, 11).

• A. 1.67
• B. 2.00
• C. 2.67
• D. 3.00

Answer: (C)

To find the slope of the line passing through the points (2, 3) and (5, 11), we use the formula for calculating the slope, which is given by:

[

\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}

]

In this case, we can identify the coordinates as follows: the first point (x1, y1) is (2, 3), where (x_1 = 2) and (y_1 = 3), and the second point (x2, y2) is (5, 11), where (x_2 = 5) and (y_2 = 11).

Now, substituting these values into the formula, we have:

[

\text{slope} = \frac{11 - 3}{5 - 2} = \frac{8}{3}

]

When you perform the division ( \frac{8}{3} ), it results in approximately 2.67. This value accurately represents the slope of the line connecting the two given points. Understanding this calculation helps in recognizing how steep the line is; a