Answer:

1. 2x + y = 4:

To graph this equation, we can rewrite it in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

2x + y = 4

y = -2x + 4

The slope is -2, and the y-intercept is 4.

Plotting the y-intercept at (0, 4), we can use the slope to find additional points. For example, if we move one unit to the right (increase x by 1), we move two units down (decrease y by 2). Plotting these points and drawing a straight line through them gives us the graph of the equation.

2. x - y = -1:

To graph this equation, we can also rewrite it in slope-intercept form.

x - y = -1

y = x + 1

The slope is 1, and the y-intercept is 1.

Plotting the y-intercept at (0, 1), we can use the slope to find additional points. For example, if we move one unit to the right (increase x by 1), we move one unit up (increase y by 1). Plotting these points and drawing a straight line through them gives us the graph of the equation.

Here is a visual representation of the graphs:

Graph 1: 2x + y = 4

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6 | x

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4 | x

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2 | x

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|_______________________

-2 -1 0 1 2 3

Graph 2: x - y = -1

|

6 | x

|

4 | x

|

2 | x

|

|_______________________

-2 -1 0 1 2 3