Flora B. answered • 05/08/21

Experienced Engaging Math Educator 5000+lessons Certified Teacher

To find the slope, m, between two points we're going to use the following equation:

m = (y_{2}-y_{1}) / (x_{2}-x_{1})

*HINT: this equation is equivalent to rise / run *

Let's choose Point A (4,2) as our first point: so x_{1} = 4 and y_{1} = 2

*HINT: remember x comes before y in coordinates (x,y)*

Point B (7,3) is our second point, so x_{2} = 7 and y_{2} = 3

Substituting our coordinates into m = (y_{2}-y_{1}) / (x_{2}-x_{1}) we now get:

m = (3-2) / (7-4) = 1/3

So the slope between our two points is 1/3