Well, first of all, to solve for the slope of a line from a graph, we can use the equation: M = Rise/Run.
The rise is how many units we go up or down by and the run is how many units we go to the right or left by.
First off, to solve for this question, let’s take two points from the graph.
For example, we can take the points (-2,4) and (0,3).
Now, if we want to start at at the coordinate (-2,4), and get to (0,3), how many units do you think that we will go up or down by and how many units do you think will go to the left or right side by?
Well, if we start at the point (-2,4) and we need to get to the point (0,3) then we will go down 1 unit which will be our Rise and we will go across to the right by 2 units.
So, the Rise/Run is: -1/2.
So, in conclusion, the slope of this line is -1/2.
