Answer:
[tex]\frac{9}{2}[/tex]
Step-by-step explanation:
The variable 'm' represents the slope in 'y=mx+b'. We need to find the slope of the two points.
Slope is rise over run. We are given the points of (6, 13) and (10, 31).
[tex]m=\frac{rise}{run}=\frac{31-13}{10-6} =\frac{18}{4} =\huge\boxed{\frac{9}{2}}[/tex]
The slope, or 'm' should be [tex]\frac{9}{2}[/tex].