Question

An equation is shown below.

x−y=2

Graph this equation by plotting two points on the coordinate plane.

Graphing
-11
-10
-9
-8
-7
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
8
9
10
11
-11
-10
-9
-8
-7
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
8
9
10
11
Draw Lines Delete Lines

Answer 1

To graph the equation \( x - y = 2 \), we can first rearrange it into slope-intercept form \( y = mx + b \):

\[
y = x - 2
\]

This shows that the slope \( m = 1 \) and the y-intercept \( b = -2 \).

Now, let's find two points on the line by choosing values for \( x \) and calculating the corresponding \( y \).

### Point 1:
Let’s choose \( x = 2 \):
\[
y = 2 - 2 = 0
\]
So, the first point is \( (2, 0) \).

### Point 2:
Let’s choose \( x = 0 \):
\[
y = 0 - 2 = -2
\]
So, the second point is \( (0, -2) \).

### Plotting the Points:
- The first point \( (2, 0) \) goes on the graph at \( x = 2 \), \( y = 0 \).
- The second point \( (0, -2) \) goes on the graph at \( x = 0 \), \( y = -2 \).

### Drawing the Line:
Once you plot these two points:
1. Mark (2, 0) on the graph.
2. Mark (0, -2) on the graph.
3. Draw a straight line through both points.

Here’s a summary of the points:
- Point 1: \( (2, 0) \)
- Point 2: \( (0, -2) \)

This is how you would graph the equation \( x - y = 2 \) or its equivalent form \( y = x - 2 \). If you need a visual representation, you can use graphing software or graph paper to plot the points and draw the line accordingly.