To determine the slope of a line represented by the equation in slope-intercept form, we need to identify the coefficients in the equation, which typically has the format:
y = mx + b
In this equation, m represents the slope, and b is the y-intercept.
For the equation y = 12x + 14:
- The coefficient of
xis 12, which means: - The slope
(m)of the line is 12.
Thus, the slope of the line is a positive value, indicating that as x increases, y also increases. Specifically, for every increase of 1 unit in x, y increases by 12 units. This also means that the line rises steeply as it moves from left to right on the graph.
In summary, the slope of the line represented by the equation y = 12x + 14 is 12.