The slope of the line represented by the equation y = 5x + 3 is 5.
To understand why, let’s first break down the equation. The equation is in the slope-intercept form, which is given by:
y = mx + b
In this formula, m denotes the slope of the line, and b represents the y-intercept, which is the point where the line crosses the y-axis.
For the line in question, y = 5x + 3, we can identify:
- m (slope) = 5
- b (y-intercept) = 3
This means that for every unit increase in x, the value of y increases by 5 units. Hence, the line rises steeply.
In summary, the slope of the line y = 5x + 3 is 5, indicating a steep upward trend as you move along the x-axis.