Question

How do you determine the slope of a line from the slope-intercept form (y = mx + b)?

A) The slope is the coefficient of x (m).
B) The slope is the constant term (b).
C) The slope is the coefficient of y (m).
D) The slope is the reciprocal of the coefficient of x (1/m).

Answer 1

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).