Answer:
The slope-intercept form of the equation for the line y = 5x + 8 is (A) y = 5x + 8.
Step-by-step explanation:
In the slope-intercept form (y = mx + b), "m" represents the slope of the line, and "b" represents the y-intercept. Comparing the given equation y = 5x + 8 with the slope-intercept form, we can identify that the slope "m" is 5, and the y-intercept "b" is 8. Therefore, the correct slope-intercept form is y = 5x + 8.
Understanding this form is essential for graphing lines and making predictions based on their characteristics. The slope indicates the rate of change, while the y-intercept represents the point where the line intersects the y-axis. In this case, the line has a positive slope of 5, meaning for every unit increase in x, y will increase by 5.
Option A is correct.