Which graph represents the equation y = 2x ?Select one:highlight_offhighlight_offhighlight_offhighlight_off

To determine which graph represents the equation $y = 2x$, we need to understand the characteristics of this linear equation.

Characteristics of the Equation $y = 2x$

1. Slope: The slope of the line is 2, which means for every unit increase in $x$, $y$ increases by 2 units.
2. Y-Intercept: The y-intercept of the equation is 0, as the line passes through the origin (0, 0).

Analyzing the Graphs

• Look for a line that passes through the origin (0, 0).
• The line should rise steeply, moving upward as you move from left to right since the slope is positive.

Conclusion

Select the graph that features a line passing through the origin with a steep upward slope reflecting the relationship defined by the equation $y = 2x$.