Using the slope formula, compute the slope of the line that goes through \( (9,8) \) and \( (14,13) \).

To find the slope of the line that passes through the points \( (9,8) \) and \( (14,13) \), you can use the slope formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \). Here, \( (x_1, y_1) = (9, 8) \) and \( (x_2, y_2) = (14, 13) \). Plugging in the values, we get: \[ m = \frac{13 - 8}{14 - 9} = \frac{5}{5} = 1 \] So, the slope of the line is \( 1 \). Now, did you know that during the rise of linear graphing techniques in the 17th century, mathematicians began to visually represent mathematical relationships? This visualization helped to build the foundation for calculus and analytical geometry! If you're interested in applying the concept of slope in real life, consider how it relates to the concept of steepness, like the incline of a hill or ramp! For example, in construction and architecture, understanding the slope is crucial for ensuring safety and accessibility in building designs.