Question

Постройте графики уравнений х-2у=4

Answer 1

Задаться значениями переменных. Например, при х=0 у = -2; при у=0 х=4.
Нанести на координатную плоскость точки с координатами (0; -2) и (4;0), соединить их под линейку прямой линией.

Answer 2

Graphing the Equation x - 2y = 4

To graph the equation x - 2y = 4, we need to plot points on a coordinate plane that satisfy the equation. Let's solve the equation for y in terms of x to make it easier to graph.

1. Solve for y: x - 2y = 4 -2y = -x + 4 y = (1/2)x - 2

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

2. Plotting the points: To graph the equation, we can choose any values for x and calculate the corresponding values for y. Let's choose a few values for x and calculate the corresponding y values:

- When x = 0, y = (1/2)(0) - 2 = -2. So one point on the graph is (0, -2). - When x = 2, y = (1/2)(2) - 2 = -1. So another point on the graph is (2, -1). - When x = 4, y = (1/2)(4) - 2 = 0. So another point on the graph is (4, 0).

3. Plotting the points on a graph: Now, let's plot the points (0, -2), (2, -1), and (4, 0) on a coordinate plane and draw a line passing through them.


The graph of the equation x - 2y = 4 is a straight line passing through the points (0, -2), (2, -1), and (4, 0).

Note: The graph is a straight line because the equation is linear (first degree) in both x and y.