Answer:
1/4
Explanation:
e use the slope formula:
![\[m = (y_2 - y_1)/(x_2 - x_1)\]](https://img.qammunity.org/2024/formulas/mathematics/college/o3lyets1zfn4v8xxxzkzcz1q6wg9g7i8qu.png)
Where:


Now, calculate the slope:
![\[m = ((5-2))/(8 - (-4))\]](https://img.qammunity.org/2024/formulas/mathematics/college/31ehhpqwfuhgjb7fg68w4nnk4bgdmoo32w.png)
![\[m = (3)/(8 + 4)\]](https://img.qammunity.org/2024/formulas/mathematics/college/8kwot3017buot1sk63c6d9urc5qmu6eik7.png)
![\[m = (3)/(12)\]](https://img.qammunity.org/2024/formulas/mathematics/college/5jtvowvnnw9jjxkecbr5l2h7zteu3wieow.png)
Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3:
![\[m = (3/3)/(12/3)\]](https://img.qammunity.org/2024/formulas/mathematics/college/k4p6jr0mdw8an0jm54nhnsdfgxpnu8emd9.png)
![\[m = (1)/(4)\]](https://img.qammunity.org/2024/formulas/mathematics/college/mfaat7y7398usu5ppinjsiu0outknvpdwc.png)
Slope of the line passing through the points (-4, 2) and (8, 5) is indeed 1/4.