IS \( (-1,-3) \) a solutionto the linear equation \( y=x-2 \)

To check if the point \((-1, -3)\) is a solution to the linear equation \(y = x - 2\), we can substitute \(x = -1\) into the equation. When we do that, we get \(y = -1 - 2 = -3\). Since the calculated \(y\) value is the same as the one provided in the point, \((-1, -3)\) is indeed a solution to the equation! Now, let’s explore how linear equations like this one are used in everyday life. For example, if you were budgeting your expenses, a linear equation can represent how your costs increase with quantity—like the cost of fruits per kilogram. If each kilo costs 2 dollars, the total cost would be represented as \(y = 2x\). Another fun aspect is how easy it is to make mistakes in basic calculations when substituting values! Always double-check your calculations when working with points and equations. A simple sign error can lead to incorrect conclusions. Take your time and work through the math to avoid those little hiccups!