The slope of the line through (2,5) and (6,5) is what?

• A. 0
• B. 1
• C. -1
• D. 2

Answer: (A)

Slopes compare how y changes when x changes. For the points given, the y-values are both 5, so there is no vertical change. The horizontal change from x = 2 to x = 6 is 4. Therefore the slope is 0 divided by 4, which is 0. This makes sense because a line through two points at the same height is horizontal, and horizontal lines have slope 0. The other numbers would require the y-value to change as x changes (for example, a slope of 1 means y increases by 1 for each step to the right), which isn’t happening here.