Determine the slope of the line through the given points Sta

Determine the slope of the line through the given points. State whether the line is the graph of an increasing function, a decreasing function, a constant function, or not a function.
  
(2, 3), (-1, -3)

Solution

slope with points (x1,y1) and (x2,y2) is

m = y2 -y1/x2-x1

so slope = (-3 -3)/-1-2

=-6/-3

=2

slope =2 and passing through (2,3)

y =2x +c

3=2(2) +c

c=-1

y = 2x -1

so this is a increasing function