For the two-variable equation \( y-6 x=7 \), find

To solve the equation \( y - 6x = 7 \) for \( y \), simply add \( 6x \) to both sides. This gives you \( y = 6x + 7 \). Now you have a linear equation in slope-intercept form, where the slope is 6 and the y-intercept is 7. If you were to graph this, you'd start at the point (0, 7) on the y-axis and rise 6 units up for every 1 unit you move to the right. To put this equation into context, consider how it can be applied in real-world scenarios, such as budgeting. Imagine \( x \) represents hours worked at a job, and \( y \) is the total earnings. With this equation, you can easily visualize how changing your hours affects your income, making it a valuable tool for planning your finances!