Find the slope between the points (1, 2) and (3, 6).

• A. 1
• B. 2
• C. 3
• D. 4

Answer: (B)

To find the slope between the points (1, 2) and (3, 6), you can use the slope formula, which is given by:

[

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

]

In this case, the coordinates of the first point (x₁, y₁) are (1, 2) and the coordinates of the second point (x₂, y₂) are (3, 6). Substituting these values into the formula gives us:

[

\text{slope} = \frac{6 - 2}{3 - 1} = \frac{4}{2} = 2

]

The slope of 2 indicates that for every increase of 1 unit in the x-direction, the y-coordinate increases by 2 units. This consistent rate of change describes a linear relationship between the x and y values of the two points provided.

Understanding the slope is crucial as it helps in determining the steepness of the line connecting the two points on a graph. The correct answer of 2 represents a direct and clear relationship between the coordinates based on the values calculated.