Find the slope of the line containing the two points (1, -1) and (-5, -3).

Solution:

The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line.

The net change in y coordinate is Δy, while the net change in the x coordinate is Δx.

So the change in y coordinate with respect to the change in x coordinate can be written as,

m = Δy/Δx,

where,

m is the slope

Also, tan θ = Δy/Δx.

Hence, we also refer to tan θ to find the slope of the line.

The slope of line joining two points say, P₁ (x₁, y₁) and P₂ (x₂, y₂), is m = (y₂ - y₁)/ (x₂ - x₁)

Here (x₁, y₁) = (1, -1) and (x₂, y₂) = (-5, -3)

∴ Slope =m = (-3 - (-1))/(-5 - 1)

= -2/-6 = 1/3

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Find the slope of the line containing the two points (1, -1) and (-5, -3)

Summary:

The slope of the line containing the two points (1, -1) and (-5, -3). Is 1/3