Question

Пожалуйста постройте график функции y=2x+3

Answer 1

Держи, но, лучше уж сам старайся, а то дальше в учебе не пройдешь :)

Answer 2

Graph of the Function y = 2x + 3

To plot the graph of the function y = 2x + 3, we can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.

In this case, the slope (m) is 2, and the y-intercept (b) is 3. This means that for every increase of 1 in the x-coordinate, the y-coordinate will increase by 2. The y-intercept indicates that the graph will intersect the y-axis at the point (0, 3).

To plot the graph, we can choose a few x-values, calculate the corresponding y-values using the equation y = 2x + 3, and then plot the points on a coordinate plane.

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

When x = -2: y = 2(-2) + 3 = -4 + 3 = -1 So, the point (-2, -1) is on the graph.

When x = 0: y = 2(0) + 3 = 0 + 3 = 3 So, the point (0, 3) is on the graph.

When x = 2: y = 2(2) + 3 = 4 + 3 = 7 So, the point (2, 7) is on the graph.

Now, let's plot these points on a coordinate plane:


The graph of the function y = 2x + 3 is a straight line that passes through the points (-2, -1), (0, 3), and (2, 7). The line has a positive slope, indicating that it is increasing as we move from left to right.

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