Question

Построить график функции,заданной формулой у=-0.5х+5.Принадлежит ли точка М(-4;7) графику этой функции?

Answer 1

Y=-0.5x+5
Функция линейная, строим по двум точкам:
х=0
у=-0.5*0+5=5
(0;5)
х=2
у=-0.5*2+5=-1+5=4
Чтобы проверить принадлежность точки графику, подставим координату х=-4 в функцию. Если точка принадлежит графику, то у должен быть равен 7. Если у не равен 7, то точка не принадлежит графику. Проверяем:
у=-0.5*(-4)+5=2+5=7
Точка (-4;7) принадлежит графику.
График в файле.

Answer 2

Graphing the Function

To graph the function given by the formula y = -0.5x + 5, we can plot several points to visualize the graph. The general form of a linear function is y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is -0.5 and the y-intercept is 5.

Let's plot a few points to graph the function:

| x | y | |------|------| | 0 | 5 | | 2 | 4 | | 4 | 3 | | 6 | 2.5 | | 8 | 2 |

Now, let's plot these points on a graph to visualize the function.

Determining if Point M(-4, 7) Lies on the Graph

To determine if the point M(-4, 7) lies on the graph of the function y = -0.5x + 5, we can substitute x = -4 into the equation and check if it satisfies the equation.

Substituting x = -4 into the equation: y = -0.5(-4) + 5 y = 2 + 5 y = 7

As we can see, when x = -4, y = 7. Therefore, the point M(-4, 7) does lie on the graph of the function y = -0.5x + 5.

This confirms that the point M(-4, 7) belongs to the graph of the given function.

Feel free to ask if you have any further questions or need additional assistance!