Explaining the Concept:
We need to find the slope of the given line:
We know that Slope of a line = Rise/Run. So, to calculate the rise and the run, we will use the points (0,4) and (2,0) on the line
Finding the Slope:
Rise:
We know that the rise of a line is its change in y-coordinate
So, rise of the given line = y₂ - y₁
Rise = 0 - 4 [Since y₁ = 4 and y₂ = 0]
Rise = -4
Run:
We know that the run of a line is its change in x-coordinate
So, Run = x₂ - x₁
Run = 2 - 0 [Since x₁= 0 and x₂ = 2]
Run = 2
Slope:
As we said before,
Slope = Rise/Run
replacing the variables
Slope = -4/2
Slope = -2
Hence, the slope of the given line is -2