Draw the graph of 15x + 5y = 30

To draw the graph of the equation 15x + 5y = 30, we first need to rearrange it in the format y = mx + b, where m is the slope and b is the y-intercept.

1. **Rearranging the Equation**:

We start with the original equation:

15x + 5y = 30

Subtract 15x from both sides:

5y = -15x + 30

Now, divide everything by 5:

y = -3x + 6

This tells us that the slope (m) is -3, and the y-intercept (b) is 6. This means the line crosses the y-axis at (0, 6).

2. **Finding Additional Points**:

To draw the line accurately, we can find another point. Let’s substitute x = 0 to find the y-intercept:

y = -3(0) + 6 = 6

This gives us the point (0, 6).

Next, let’s find another point. If we let x = 2:

y = -3(2) + 6 = 0

This gives us another point (2, 0).

3. **Plotting the Points**:

Now we have two points: (0, 6) and (2, 0). We can plot these points on a coordinate plane:

• (0, 6) is on the y-axis.
• (2, 0) is on the x-axis.

4. **Drawing the Graph**:

Draw a straight line through these two points, extending it in both directions. This line represents the equation 15x + 5y = 30.

5. **Conclusion**:

The graph of 15x + 5y = 30 is a straight line with a negative slope, indicating that as x increases, y decreases. You can also find more points if you wish to make your graph more precise.