Question

Какие из точек А(2;7), Б(4;22), С(-1,2;-10,6),Д(-4;18)принадлежат графику функции,заданной формулой y=5,5x-4?

Answer 1

Подставляем координаты точки в уравнение: 7=5,5*2-4; 7=11-4, 7=7( так как левая часть равна правой , следовательно точка А принадлежит графику функции).  -10= 5,5*(-1,2)-4; -10,6 = - 6,6-4; -10,6= -10,6( так как левая часть равна правой , следовательно точка С принадлежит графику функции). Ответ: графику функции принадлежат точки А и С. 

Answer 2

Checking Points on the Graph of the Function y=5.5x-4

To determine which of the points A(2,7), B(4,22), C(-1,2;-10,6), D(-4,18) belong to the graph of the function y=5.5x-4, we can substitute the x-coordinates of each point into the function and check if the resulting y-coordinate matches the given y-coordinate.

- For point A(2,7): - Substituting x=2 into the function y=5.5x-4 gives: - y = 5.5*2 - 4 - y = 11 - 4 - y = 7 - The resulting y-coordinate matches the given y-coordinate of 7, so point A(2,7) belongs to the graph of the function y=5.5x-4.

- For point B(4,22): - Substituting x=4 into the function y=5.5x-4 gives: - y = 5.5*4 - 4 - y = 22 - The resulting y-coordinate matches the given y-coordinate of 22, so point B(4,22) also belongs to the graph of the function y=5.5x-4.

- For point C(-1,2): - Substituting x=-1 into the function y=5.5x-4 gives: - y = 5.5*(-1) - 4 - y = -5.5 - 4 - y = -9.5 - The resulting y-coordinate does not match the given y-coordinate of -10.6, so point C(-1,2) does not belong to the graph of the function y=5.5x-4.

- For point D(-4,18): - Substituting x=-4 into the function y=5.5x-4 gives: - y = 5.5*(-4) - 4 - y = -22 - 4 - y = -26 - The resulting y-coordinate does not match the given y-coordinate of 18, so point D(-4,18) does not belong to the graph of the function y=5.5x-4.

Conclusion

Based on the calculations, points A(2,7) and B(4,22) belong to the graph of the function y=5.5x-4, while points C(-1,2) and D(-4,18) do not.