The slope of the line represented by the equation y = 12x + 14 is 12.
To explain this, we need to look at the equation in the context of the slope-intercept form, which is:
y = mx + b
In this equation, m represents the slope of the line, and b is the y-intercept (the point where the line crosses the y-axis).
In our case, comparing y = 12x + 14 with the slope-intercept form, we can see that:
- m = 12
- b = 14
This means the slope of the line is 12. A slope of 12 indicates that for every 1 unit increase in x, the value of y increases by 12 units. Therefore, the line rises steeply as x increases.