What is the slope of the line passing through the points (3, 7) and (7, 15)?

What is the slope of the line passing through the points (3, 7) and (7, 15)?

• A. 2
• B. 3
• C. 4
• D. 1

Answer: (A)

To find the slope of the line passing through two points, you can use the formula: \[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \] In this case, the points given are (3, 7) and (7, 15). Here, we can assign the coordinates as follows: \( (x_1, y_1) = (3, 7) \) and \( (x_2, y_2) = (7, 15) \). Now, substituting these values into the slope formula: \[ \text{slope} = \frac{15 - 7}{7 - 3} = \frac{8}{4} = 2 \] Thus, the slope of the line is 2. This means that for every increase of 1 unit in the x-direction, the y-value increases by 2 units, which indicates a consistent rate of change between the two points. In the context of the question, the slope being 2 correlates to the line rising two units for each unit it moves to the right, making it a steep upward incline. This interpretation confirms that

To find the slope of the line passing through two points, you can use the formula:

[

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

]

In this case, the points given are (3, 7) and (7, 15). Here, we can assign the coordinates as follows: ( (x_1, y_1) = (3, 7) ) and ( (x_2, y_2) = (7, 15) ).

Now, substituting these values into the slope formula:

[

\text{slope} = \frac{15 - 7}{7 - 3} = \frac{8}{4} = 2

]

Thus, the slope of the line is 2. This means that for every increase of 1 unit in the x-direction, the y-value increases by 2 units, which indicates a consistent rate of change between the two points.

In the context of the question, the slope being 2 correlates to the line rising two units for each unit it moves to the right, making it a steep upward incline. This interpretation confirms that