Question

4. Какие из точек – А(9; 7), В (5; -7), С(8; 6), D(-7;-9) принадлежат графику зависимости x-y= 2 Запишите координаты ещё двух точек, принадлежащих этому графику.​

Answer 1

Ответ:

Смотри: вместо х в уравнении каждый раз подставляй первое число, вместо у - второе. Если получится верное тождество, то точка принадлежит.

Ну вот точка А (0;1)

Вместо х ставим 0, вместо у ставим 1 и имеем:

0 - 1 = -1,

-1 тождественно равно -1.

Значит, принадлежит.

Автор выше предложил вариант не хуже.

Answer 2

Points on the Graph of x-y=2

The equation x-y=2 represents a straight line in the xy-plane. Let's determine which of the given points A(9, 7), B(5, -7), C(8, 6), and D(-7, -9) belong to the graph of this equation and find the coordinates of two additional points that belong to this graph.

The equation x-y=2 can be rewritten in the form y=x-2, which represents a line with a slope of 1 and a y-intercept of -2.

Points on the Graph: - Point A(9, 7): This point does not satisfy the equation x-y=2, as 9-7 is not equal to 2. - Point B(5, -7): This point also does not satisfy the equation x-y=2, as 5-(-7) is not equal to 2. - Point C(8, 6): This point does satisfy the equation x-y=2, as 8-6 is equal to 2. Therefore, point C(8, 6) belongs to the graph of x-y=2. - Point D(-7, -9): This point does not satisfy the equation x-y=2, as -7-(-9) is not equal to 2.

Additional Points on the Graph: 1. To find another point on the graph, we can choose x=0, which gives y=-2. Therefore, the point (0, -2) belongs to the graph of x-y=2. 2. Similarly, choosing y=0 gives x=2. Therefore, the point (2, 0) also belongs to the graph of x-y=2.

Therefore, the coordinates of two additional points that belong to the graph of x-y=2 are (0, -2) and (2, 0).