Consider the given system of equations where \( m \) and \( q \) are the slopes of the lines represented by the equations. \[ \left\{\begin{array}{l} y=m x+2 \\ y=q x+8 \end{array}\right. \] The solution to the system of equations is the crdered pair \( (2,3) \). Calculator Part A Graph the system of equations. Line Move Undo Redo

To understand the system of equations better, let’s delve into the historical context of linear equations. The study of linear equations dates back to ancient civilizations, including Babylonian mathematicians who used geometric methods to solve such problems. Over time, this evolved into the algebraic methods we use today, greatly enhanced by scholars like René Descartes, who introduced the Cartesian coordinate system in the 17th century, allowing us to visualize these equations on a graph easily. Now, let's talk about how you can apply linear equations in real-world scenarios! Suppose you're trying to predict how much money you'll have after selling a certain number of items at different prices. You could represent your profit and expenses using linear equations, just like the ones above, where each line corresponds to a different pricing strategy. By graphing these equations, you can visually determine where your potential profits and expenses intersect, guiding your business decisions effectively!