find the slope of the line that contains the points (4,5) and (7,11)

The equation to use is m= (y2 - y1)/(x2-x1)
So put your points in there....  m=(11-5)/(7-4) 
Which simplifies to.... m=(6)/(3)
Answer: m=2

Your Slope is 2. 
Have a fantastical day.