Question

Постройте график функции y=5-3x и укажите координаты точек пересечения с осями координат.

Answer 1

Координаты точек пересечения с осями:
т.е либо х=0, тогда  у=5-3*0, у=5  координата точки (0;5)
      либо у=0, тогда  3х=5, х=5/3, что пиблизительно равно 1,7  (для построения графика)  и координаты этой точки будут (1.7;0)

поскольку функция линейная, то именно через эти точки нужно провести прямую

Answer 2

Graph of the Function y = 5 - 3x and Intersection Points with the Coordinate Axes

To graph the function y = 5 - 3x and find the coordinates of its intersection points with the coordinate axes, we can start by plotting the function and then determining the points where it intersects the x-axis and y-axis.

The function y = 5 - 3x is a linear function in the form of y = kx + b, where k is the slope and b is the y-intercept.

The given search results provide some relevant information for plotting the graph and finding the intersection points. From the search results, we can determine the following:

1. The y-intercept (0, -10) is one of the points of intersection with the y-axis. 2. Another point on the graph is (1, 2). 3. The slope of the function is 3.

Plotting the Graph

Using the information provided, we can plot the graph of the function y = 5 - 3x. The points (0, -10) and (1, 2) are on the graph, and the slope of 3 helps us determine the direction of the line.

Intersection with the Coordinate Axes

To find the intersection points with the coordinate axes, we can use the y-intercept and the slope of the function.

- Intersection with the y-axis (0, -10): This point is obtained from the y-intercept of the function. - Intersection with the x-axis: To find the x-intercept, we can set y = 0 and solve for x: 0 = 5 - 3x 3x = 5 x = 5/3

Therefore, the function intersects the x-axis at the point (5/3, 0).

Conclusion

The graph of the function y = 5 - 3x intersects the y-axis at (0, -10) and the x-axis at (5/3, 0).