To find the slope and the y-intercept of the equation given, we first need to ensure that the equation is in the slope-intercept form, which is y = mx + b. In this form, m represents the slope and b represents the y-intercept.
The equation provided is y = 3x + 10.
From this equation, we can clearly see that:
- The slope (m) is 3. This means that for every unit increase in x, the value of y increases by 3 units.
- The y-intercept (b) is 10. This means that the line crosses the y-axis at the point (0, 10).
In summary, for the equation y = 3x + 10, the slope is 3 and the y-intercept is 10.