Question

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

2

0

3

1

Answer 1

\[M = \frac{y2-y1}{x2-x1}\]

(2,5) (3,6)
x1,y1 x2,y2

Answer 2

I'd approach this without doing any calculations and just visualize it. Slope is defined as rise (up or down) over run (going to the right one unit). Notice that the first point, going to the second point, is exactly that! It goes one unit to the right (from an X value of 2 to a Y value of 3). So just look at what's happening with the Y values, it goes up one unit from the first to the second point. So it rises one unit when it goes to the right one unit. So the slope is 1.

Hope that was helpful!