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

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To graph the line given by the equation $$ y = -\frac{3}{5} x + 1 $$, we can follow these steps:

1. **Identify the slope and y-intercept**:
   - The slope (m) is $$-\frac{3}{5}$$.
   - The y-intercept (b) is $$1$$. This means the line crosses the y-axis at the point $$(0, 1)$$.

2. **Plot the y-intercept**:
   - Start by plotting the point $$(0, 1)$$ on the graph.

3. **Use the slope to find another point**:
   - The slope $$-\frac{3}{5}$$ means that for every 5 units you move to the right (positive x-direction), you move down 3 units (negative y-direction).
   - From the point $$(0, 1)$$, move 5 units to the right to $$x = 5$$ and then move down 3 units to $$y = -2$$. This gives you the point $$(5, -2)$$.

4. **Plot the second point**:
   - Plot the point $$(5, -2)$$ on the graph.

5. **Draw the line**:
   - Draw a straight line through the points $$(0, 1)$$ and $$(5, -2)$$. Extend the line in both directions.

6. **Label the graph** (optional):
   - You can label the line with its equation $$y = -\frac{3}{5} x + 1$$.

The graph will show a line that slopes downwards from left to right, reflecting the negative slope.
Plot the y-intercept at (0, 1). Use the slope $$-\frac{3}{5}$$ to find another point, like (5, -2). Draw a line through these points.

Graph the line.

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