Final answer:
The slope of a line in slope-intercept form (y = mx + b) is represented by the coefficient of x, which is 'm'. Thus, the answer is A) The slope is the coefficient of x (m).
Step-by-step explanation:
To determine the slope of a line from the slope-intercept form, which is y = mx + b, you look at the coefficient of x. In this form, m represents the slope, and b represents the y-intercept. The slope describes the steepness of the line and is defined as rise over run.
If we have an equation such as y = 3x + 9, the slope m would be 3 because it's the coefficient of x. This indicates that for every one unit increase in x (the run), the y-value increases by three units (the rise).
Therefore, in the options provided, the correct answer to the question 'How do you determine the slope of a line from the slope-intercept form (y = mx + b)?' is A) The slope is the coefficient of x (m).