Respuesta :
The slope of the line of each pair of points 3/2 , - (1/2) and -(2/3) , 1/3 is zero
What is a slope of line?
A line's steepness and direction are determined by the slope of the line. Without actually using a compass, determining a line's slope in a coordinate plane allows one to anticipate whether a line is parallel, perpendicular, or not.
The change in a line's y coordinate relative to its change in x coordinate is referred to as the line's slope. Δy is the net change in the y coordinate, while Δx is the net change in the x coordinate.
Therefore,
m = y₂-y₁/x₂-x₁ (where m denotes the slope) can be used to express how the y coordinate changes in relation to the x coordinate.
Be aware that tan ∅ = y/x.
We also refer to this tan as the line's slope.
We know that slope, slope = m = [tex]\frac{y_2 -y_1}{x_2 -x_1}[/tex]
For the pair of points 3/2 , - (1/2)
m = [tex]\frac{2-2}{-1-3}[/tex]
= 0/(-4)
Hence the slope is zero for these points.
For the pair of points -(2/3) , 1/3
m = [tex]\frac{3-3}{1-(-2)}[/tex]
= 0/3
Hence the slope is zero for these points.
Learn more about slope
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