Consider the following equation.

y=4/3x+3y=43x+3

Step 3 of 3 :  

Indicate the slope of the line by plotting a point on the line other than the y-intercept.

Let’s first break down the given equation. You provided:

\[
y = \frac{4}{3}x + 3y = 43x + 3
\]

This seems to be two equations combined, so let’s assume there was a formatting error. I will interpret this as one equation:  

\[
y = \frac{4}{3}x + 3
\]

This is a linear equation in **slope-intercept form** \(y = mx + b\), where:

- \(m\) is the **slope** (the coefficient of \(x\))
- \(b\) is the **y-intercept** (the constant term)

So for our equation:

\[
m = \frac{4}{3} \quad \text{(the slope)}
\]
\[
b = 3 \quad \text{(the y-intercept)}
\]

### Step 1: Identify the slope
- **Slope** \(m = \frac{4}{3}\) means that for every **3 units right** on the x-axis, the line **rises by 4 units** on the y-axis.

### Step 2: Plot the y-intercept
- The y-intercept is at \( (0, 3) \). This is the first point we plot on the line.

### Step 3: Plot another point using the slope
1. Start at the **y-intercept** \((0, 3)\).
2. Use the slope \(m = \frac{4}{3}\).
   - Move **3 units to the right** (positive x-direction).
   - Move **4 units up** (positive y-direction).

Thus, the second point will be:

\[
(0 + 3, 3 + 4) = (3, 7)
\]

### Conclusion
- The second point on the line, besides the y-intercept, is \((3, 7)\).
- You can now plot these two points: \( (0, 3) \) and \( (3, 7) \), then draw the line through them.

Would you like further help on plotting this? Or any more questions about slope? 

---

**Relative Questions:**

1. How do you find the slope between two points?
2. How do negative slopes affect the direction of a line?
3. What is the x-intercept of a line, and how can it be calculated?
4. How do you convert standard form equations into slope-intercept form?
5. How can you graph lines using only the slope and y-intercept?

**Tip:** A positive slope means the line rises from left to right, while a negative slope means it falls.

Consider the following equation. y=4/3x+3y=43x+3. Step 3 of 3: Indicate the slope of the line by plotting a point on the line other than the y-intercept.

Explore how to graph the linear equation y = 4/3x + 3 by identifying the slope and y-intercept. Learn to plot a second point on the line using the slope, suitable for students in Grades 8-10 studying algebra and graphing techniques.

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