College Math Placement Practice Test

What is the slope of the line if the points (2, 3) and (4, 7) are connected?

1. 1

2. 2

3. 3

4. 4

The correct answer is: 2

To find the slope of a line connecting two points, you use the formula for the slope, which is defined as the change in the y-coordinates divided by the change in the x-coordinates. Specifically, if you have two points, \((x_1, y_1)\) and \((x_2, y_2)\), the slope \(m\) is calculated as follows: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] In this case, the points given are \( (2, 3) \) and \( (4, 7) \). We can assign the coordinates as follows: - \( x_1 = 2 \), \( y_1 = 3 \) - \( x_2 = 4 \), \( y_2 = 7 \) Now, we can plug these values into the slope formula: \[ m = \frac{7 - 3}{4 - 2} = \frac{4}{2} = 2 \] The calculated slope of the line connecting these two points is 2, which corresponds to the choice that was indicated as the correct answer