Question

Постройте график функции y=-x+4, принадлежит ли этому графику точка А(400;200)?

Answer 1

Ставишь две точки (0;4) и (2;2) и проводишь через них прямую

200=-400+4

200=-396

Равенство неверное значит точка А не принадлежит даному графику

Answer 2

Plotting the Function y = -x + 4

To plot the function y = -x + 4, we can create a graph with the x-axis representing the values of x and the y-axis representing the corresponding values of y.

Let's plot the graph:

import matplotlib.pyplot as plt
import numpy as np

x = np.linspace(-10, 10, 100)  # Generate 100 x-values from -10 to 10
y = -x + 4  # Calculate the corresponding y-values

plt.plot(x, y)
plt.xlabel('x')
plt.ylabel('y')
plt.title('Graph of y = -x + 4')
plt.grid(True)
plt.show()

The graph of the function y = -x + 4 is a straight line with a negative slope. It intersects the y-axis at 4 and the x-axis at -4.

Checking if Point A(400, 200) Belongs to the Graph

To check if the point A(400, 200) belongs to the graph of the function y = -x + 4, we can substitute the x and y coordinates of the point into the equation and see if the equation holds true.

Substituting x = 400 and y = 200 into the equation y = -x + 4:

200 = -(400) + 4

Simplifying the equation:

200 = -400 + 4

200 = -396

The equation is not true, which means that the point A(400, 200) does not belong to the graph of the function y = -x + 4.

Therefore, the point A(400, 200) does not lie on the graph of the function y = -x + 4.