We are given two points A(6,1) and B(8,9) and we need to find the slope of an equation that passes through both of them.
To calculate the slope using the coordinates of 2 given points, we use this formula:
m = (yB-yA)/(xB-xA) in which m represents the slope.
In our case, we have: yB=9 and yA=1, then xB=8 and xA=6.
So the slope of an equation that passes through them is:
m = (yB-yA) / (xB-xA)
m = (9-1) / (8-6)
m = 8/2
m = 4
So the slope of the line is 4.
Hope this helps! :)