The statement which best explains the relationship between lines PQ and RS is that they are not parallel because their slope are not equal.
What is slope of a line ?
In Mathematics, a slope of a line is the change in y coordinate with respect to the change in x coordinate.
The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx.
Hence, the change in y-coordinate with respect to the change in x-coordinate is given by,
m = change in y/change in x = Δy/Δx
Where “m” is the slope of a line.
The slope of the line can also be represented by
tan θ = Δy/Δx
So, tan θ to be the slope of a line.
Here,
Coordinates of point P is (-5,3) and Q is (5,1)
And slope is giving by [tex]y2-y1/x2-x1[/tex]
so, slope of line PQ is = 1-3/5-(-5)= -2/10 = -1/5
Similarly, coordinates of R is (-4,-2) and S is (0,-4)
so, slope of line RS is = -4-(-2)/0+4 = -2/4 = -1/2
Therefore, the slope are not equal.
Hence, C is the correct option.
To know more about slope of a line here
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