How do you graph y = 2x + 3?

To graph the equation y = 2x + 3, follow these steps:

Identify the slope and y-intercept:

The equation is in the form y = mx + b, where m is the slope and b is the y-intercept.
In y = 2x + 3, the slope (m) is 2, and the y-intercept (b) is 3.
Plot the y-intercept:

The y-intercept is the point where the graph crosses the y-axis. For y = 2x + 3, this occurs when x = 0. So, the point (0, 3) is on the graph. Plot this point on the coordinate plane.
Use the slope to find another point:

The slope is 2, which means that for every 1 unit increase in x, y increases by 2 units. Starting from the point (0, 3), move 1 unit to the right (increase x by 1) and 2 units up (increase y by 2). This gives the point (1, 5).
Plot the second point:

The point (1, 5) is another point on the graph. Plot this point.
Draw the line:

Now that you have at least two points, (0, 3) and (1, 5), draw a straight line through these points. This line represents the equation y = 2x + 3.
Check the line:

You can check if the line is correct by picking another value for x and calculating y. For example, if x = -1, then y = 2(-1) + 3 = 1. The point (-1, 1) should also be on the line.
Thus, the graph of y = 2x + 3 is a straight line with slope 2 and y-intercept 3.