Question

Y = X - 2 построить график

Answer 1

см скриншот

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Answer 2

To plot the graph of the equation Y = X - 2, we need to represent the relationship between the variables X and Y. This is a linear equation in the form of Y = mX + b, where m is the slope (coefficient of X) and b is the y-intercept.

In our case, the equation Y = X - 2 has a slope of 1 (coefficient of X) and a y-intercept of -2. The slope indicates that for every unit increase in X, Y will increase by 1, and the y-intercept is the point where the line crosses the Y-axis when X = 0.

Let's create a graph to visualize this relationship:

1. Choose a range of X values. Let's say -5 to 5 for this example.
2. Substitute each X value into the equation to find the corresponding Y value.
3. Plot the points (X, Y) on the graph.
4. Connect the points with a straight line to represent the equation.

Here's the graph:

plaintextCopy code
X    | Y (= X - 2)
-------------------
-5   | -7
-4   | -6
-3   | -5
-2   | -4
-1   | -3
0    | -2 (y-intercept)
1    | -1
2    | 0
3    | 1
4    | 2
5    | 3

Now, let's plot these points on a coordinate plane:

plaintextCopy code
  |                                 
3 |   .                              
  |     .                            
2 |       .                          
  |         .                        
1 |           .                      
  |             .                    
0 |---------------.-------------------
  |               .                  
-1 |                 .                
  |                   .              
-2 |                     .            
  |                       .          
-3 |                         .        
  |                           .      
-4 |                             .    
  |                               .  
-5 |                                 .
  |_________________________________
    -5  -4  -3  -2  -1   0   1   2   3   4   5   (X-axis)

The graph will show a straight line passing through the points and representing the equation Y = X - 2. The line will have a slope of 1 and will intersect the Y-axis at -2.