To determine the slope and the y-intercept of the equation y = 3x + 10, we can refer to the standard form of a linear equation, which is expressed as y = mx + b. In this formula:
- m represents the slope of the line
- b signifies the y-intercept, or where the line crosses the y-axis
In our equation, we can directly identify the values:
- The coefficient of x is 3, which indicates that the slope (m) is 3.
- The constant term is 10, which tells us that the y-intercept (b) is 10.
To summarize:
- Slope (m): 3
- Y-intercept (b): 10
This means that for every unit increase in x, the value of y increases by 3. Additionally, the line will cross the y-axis at the point (0, 10).