Final answer:
The slope of the line 2.5x - 7y = 2 is found by rewriting the equation in slope-intercept form, y = mx + b, and identifying the coefficient of x as the slope. This results in a slope m = 5/14.
Step-by-step explanation:
To find the slope of the line 2.5x - 7y = 2, we need to put the equation into slope-intercept form, which is y = mx + b.
First, we need to solve for y:
- 2.5x - 7y = 2
- 7y = 2.5x - 2
- y = (2.5/7)x - 2/7
Now, the equation is in slope-intercept form, where m is the coefficient of x. Here m = 2.5/7, which simplifies to m = 5/14, so the slope of the line is 5/14. Therefore, the correct answer is b. m = 5/14.