To determine which graph represents the function y = 2x + 4, we need to understand the characteristics of this linear function. The equation is in the slope-intercept form, which is generally represented as y = mx + b, where m is the slope and b is the y-intercept.
In the given function, y = 2x + 4:
- The slope (m) is 2, which means that for every unit increase in x, y increases by 2 units. This indicates a steep upward incline.
- The y-intercept (b) is 4, meaning that when x is 0, y will be 4. This point is where the line crosses the y-axis.
When looking at the graphs, you should be searching for one that has a y-intercept at the point (0, 4) and slopes upward through each successive point according to the slope of 2. If you can find a graph that matches these criteria, that will be the correct representation of the function y = 2x + 4.