
y=3-x побудувати графік функції


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Graph of the Function y = 3 - x
To graph the function y = 3 - x, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m represents the slope and b represents the y-intercept.
In this case, the equation y = 3 - x can be rewritten as y = -x + 3. Comparing this equation to the slope-intercept form, we can see that the slope (m) is -1 and the y-intercept (b) is 3.
To plot the graph, we can start by plotting the y-intercept, which is the point (0, 3). From there, we can use the slope to find additional points and draw a straight line through them.
Let's find a few more points to plot the graph:
When x = 1: y = -1(1) + 3 = 2 So, the point (1, 2) is on the graph.
When x = 2: y = -1(2) + 3 = 1 So, the point (2, 1) is on the graph.
When x = -1: y = -1(-1) + 3 = 4 So, the point (-1, 4) is on the graph.
Now, let's plot these points and draw the graph:

The graph of the function y = 3 - x is a straight line that passes through the points (0, 3), (1, 2), (2, 1), and (-1, 4). The line has a negative slope, indicating that as x increases, y decreases. The y-intercept is 3, which means that when x = 0, y = 3.
I hope this helps! Let me know if you have any further questions.


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