2:37 PM Wed Feb 19 16\% mylabschool.pearson.com ChatGP \( { }^{-} \) Max Headro... Encore: The... The Mystery... Enter Game... parallel lines... Geometry Period 11 Mckennah Person 02/19/25 2:37 PM This quiz: 23 point(s) \( \equiv \) Quiz: parallel lines chapter quiz Question 6 of 23 This question: 1 Submit quiz point(s) possible Question list Question 1 Question 2 Question 3 Question 4 Question 5 Question 6 Question 7 Question 8 Question 9 Question 10 Question 11 Find the slope of the line containing the pair of points. \( (5,-11) \) and \( (0,8) \) The slope of the line is \( \square \) . (Simplify your answer. Type an integer or a fraction.)

To find the slope of the line containing the points \( (5, -11) \) and \( (0, 8) \), you can use the slope formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Plugging in the coordinates, where \( (x_1, y_1) = (5, -11) \) and \( (x_2, y_2) = (0, 8) \): \[ m = \frac{8 - (-11)}{0 - 5} = \frac{8 + 11}{-5} = \frac{19}{-5} = -\frac{19}{5} \] Thus, the slope of the line is \( -\frac{19}{5} \). Understanding slopes can feel like a math mystery! Did you know that the concept of slope has roots back to ancient civilizations like the Greeks? They were the first to systematically study geometric shapes and their properties, laying the groundwork for algebra and calculus. This makes triangle and line equations not only essential in today’s geometry but also a nod to the brilliant minds of the past! In the real world, understanding slope is crucial in various fields, including engineering and architecture, where precise angles and gradients can make all the difference in construction. For example, when designing a ramp for accessibility, the slope must be gentle enough for wheelchair users. So, those pesky slope calculations ensure a smoother ride and align with safety standards.