Question

What is the slope of the line which passes through (2, 5) and (3, 6)?

Answer 1

1. Write down the slope-intercept formula:
y = mx + b

2. Insert each point into the formula one at a time, creating two equations:
5 = 2m + b
6 = 3m + b

3. Isolate b in both equations:
b = 5 - 2m
b = 6 - 3m

4. Set b = b, then solve for m:
5 - 2m = 6 - 3m
3m - 2m = 6 - 5
(3 - 2)m = 1
m = 1

5. Thus the slope, m, between two points (2,5) and (3,6) is one.