Question

The slope of the given line is:

Answer 1

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