Use graph paper for this equation. Take 2cm=1 unit the both the axes.
Draw the graph of x+y+3=0 and 3x-2y+4=0. Plot only three points per line.

Answer

To solve the given equations and plot their graphs, we will follow these steps:

### Step 1: Rewrite the equations
The equations given are:
1. \( x + y + 3 = 0 \)
2. \( 3x - 2y + 4 = 0 \)

We can rewrite these equations in the slope-intercept form \( y = mx + b \).

### Step 2: Find points for the first equation \( x + y + 3 = 0 \)
To find points, we can choose values for \( x \) and solve for \( y \).

1. **Let \( x = 0 \)**:
\[ 0 + y + 3 = 0 \implies y = -3 \quad \text{(Point: \( (0, -3) \))} \]

2. **Let \( y = 0 \)**:
\[ x + 0 + 3 = 0 \implies x = -3 \quad \text{(Point: \( (-3, 0) \))} \]

3. **Let \( x = -1 \)**:
\[ -1 + y + 3 = 0 \implies y = -2 \quad \text{(Point: \( (-1, -2) \))} \]

### Step 3: Plot the points for the first equation
The points we found are:
- \( (0, -3) \)
- \( (-3, 0) \)
- \( (-1, -2) \)

### Step 4: Draw the line for the first equation
On graph paper, plot the points and draw a straight line through them.

### Step 5: Find points for the second equation \( 3x - 2y + 4 = 0 \)
Again, we will choose values for \( x \) and solve for \( y \).

1. **Let \( x = 0 \)**:
\[ 3(0) - 2y + 4 = 0 \implies -2y + 4 = 0 \implies y = 2 \quad \text{(Point: \( (0, 2) \))} \]

2. **Let \( y = 0 \)**:
\[ 3x - 2(0) + 4 = 0 \implies 3x + 4 = 0 \implies x = -\frac{4}{3} \quad \text{(Point: \( (-\frac{4}{3}, 0) \))} \]

3. **Let \( x = -1 \)**:
\[ 3(-1) - 2y + 4 = 0 \implies -3 - 2y + 4 = 0 \implies -2y + 1 = 0 \implies y = \frac{1}{2} \quad \text{(Point: \( (-1, \frac{1}{2}) \))} \]

### Step 6: Plot the points for the second equation
The points we found are:
- \( (0, 2) \)
- \( (-\frac{4}{3}, 0) \)
- \( (-1, \frac{1}{2}) \)

### Step 7: Draw the line for the second equation
On graph paper, plot these points and draw a straight line through them.

### Summary
You should now have two lines plotted on your graph paper, representing the equations \( x + y + 3 = 0 \) and \( 3x - 2y + 4 = 0 \).