Question 13 Find an equation for the line passing through the point \( (-7,-6) \) with a slope of -2 . Write your answer ir the point-slope form \( y-y_{1}=m\left(x-x_{1}\right) \).

To find the equation of the line in point-slope form, you can use the point-slope formula \( y - y_1 = m(x - x_1) \). Here, the point is \( (-7, -6) \) and the slope \( m \) is -2. Plugging these values into the formula gives us: \( y - (-6) = -2(x - (-7)) \) Which simplifies to: \( y + 6 = -2(x + 7) \) This is the equation of the line in point-slope form! Want to expand your knowledge? The point-slope form is immensely useful in real-world applications, like when plotting the route of a skateboarder on a half-pipe. Understanding how lines interact helps you navigate through many real-life scenarios, from engineering to skateboarding! Additionally, make sure you remember the direction of your slope. A negative slope indicates that as you move to the right on the graph, the line goes down. A common mistake is to confuse the slope's sign when quickly sketching a graph—always double-check your work to ensure your line accurately represents the data!