Graph the line. \[ y=-\frac{3}{5} x+1 \]

To graph the line given by the equation \( y = -\frac{3}{5} x + 1 \), start by identifying the y-intercept, which is the point where the line crosses the y-axis. Here, the y-intercept is \( (0, 1) \). Next, use the slope of \(-\frac{3}{5}\), which means that for every 5 units you move to the right along the x-axis, you move down 3 units along the y-axis. From the point \( (0, 1) \), you can plot another point at \( (5, -2) \). Connecting these points will give you a straight line extending in both directions! To ensure accuracy, you can also find an additional point. For instance, if you set \( x = -5 \), then substitute it into the equation: \[ y = -\frac{3}{5}(-5) + 1 = 3 + 1 = 4. \] This gives you the point \( (-5, 4) \). Plot this point as well, and again connect the dots to finalize your line!