Question

Постройте график функции y=3x-4

Answer 1

А(0;-4)-точка пересечения с осью ОY
Точка B(1 1/3;0)-точка пересечения с осью OX

Answer 2

Graph of the Function y = 3x - 4

To plot the graph of the function y = 3x - 4, we can use the slope-intercept form of a linear equation, which is y = mx + b. In this case, the slope (m) is 3 and the y-intercept (b) is -4.

The slope of 3 means that for every increase of 1 in the x-coordinate, the y-coordinate will increase by 3. The y-intercept of -4 indicates that the graph will intersect the y-axis at the point (0, -4).

To plot the graph, we can choose a few x-values, calculate the corresponding y-values using the equation, and then connect the points.

Let's choose three x-values: -2, 0, and 2.

When x = -2: y = 3(-2) - 4 y = -6 - 4 y = -10

So, the first point is (-2, -10).

When x = 0: y = 3(0) - 4 y = 0 - 4 y = -4

So, the second point is (0, -4).

When x = 2: y = 3(2) - 4 y = 6 - 4 y = 2

So, the third point is (2, 2).

Now, let's plot these points on a graph:


The graph of the function y = 3x - 4 is a straight line that passes through the points (-2, -10), (0, -4), and (2, 2). The line has a positive slope, indicating that it is increasing as x increases.

I hope this helps! Let me know if you have any further questions.