To determine how much y increases when x increases by 1 in the linear equation y = 2x + 4, we first need to look at the equation itself.
The equation represents a straight line where:
- The coefficient of x (which is 2) represents the slope of the line.
The slope indicates how much y changes for each unit change in x. In this case, for every 1 unit increase in x, y increases by 2 units.
So, when x increases by 1 point, the increase in y can be calculated as:
- Change in y = 2 (the slope) × Change in x (1) = 2 × 1 = 2.
Therefore, y will increase by 2 points when x increases by 1 point.