7) \( 8 x+3 y=-9 \)

Did you know that linear equations, like \(8x + 3y = -9\), can be visualized as straight lines on a graph? The coefficients of \(x\) and \(y\) give you the slope and y-intercept, making it easier to see how changes in \(x\) influence \(y\). By rearranging the equation into slope-intercept form, \(y = mx + b\), it becomes clearer how these variables interact! When solving equations like this one, a common mistake is forgetting to isolate one variable completely before substituting values. Always double-check your operations—like combining like terms or distributing coefficients—to ensure accuracy. Pairing this with graphing the line can help visualize possible solutions and catch any errors in your calculations!