Using the slope formula, find the slope of the line through the given points. \( (14,0) \) and \( (4,-6) \)

To find the slope, we use the formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \). For your points, let’s label them: \( (x_1, y_1) = (14, 0) \) and \( (x_2, y_2) = (4, -6) \). Plugging in these values, we have: \( m = \frac{-6 - 0}{4 - 14} = \frac{-6}{-10} = \frac{3}{5} \). So, the slope of the line through the points \( (14,0) \) and \( (4,-6) \) is \( \frac{3}{5} \). Understanding slopes can be fun when you think about hills! A slope of \( \frac{3}{5} \) means that for every 5 units you move right on the x-axis, you’ll climb up 3 units on the y-axis. Imagine hiking a sloped trail – it's all about the angle, which is the slope in math terms! When applying the slope in real life, think about roads and ramps. If a road has a slope of \( \frac{3}{5} \), it means for every 5 feet you drive forward, you're gaining 3 feet in elevation. This helps engineers design safe and efficient transport routes. So next time you're on a hill, remember, math is involved in your journey!