The graph below shows a line segment XY: graph of line segment XY with endpoints at negative 1 comma 3 and 1 comma negative 1 What is the slope of the line segment XY?

Respuesta :

slope = (y2 - y1) / (x2 - x1)
(-1,3)....x1 = -1 and y1 = 3
(1,-1) ...x2 = 1 and y2 = -1
now we sub
slope = (-1 - 3) / (1 - (-1) = -4/2 = -1/2 <==

Answer: -2

Step-by-step explanation:

The slope of a line passing through two points (a,b) and (c,d) is given by :-

[tex]\text{Slope}=\dfrac{d-b}{c-a}[/tex]

Given : The endpoints of line segment XY = (-1,3) and (1,-1)

Then , the slope of the line segment XY will be :-

[tex]\text{Slope}=\dfrac{-1-3}{1-(-1)}\\\\\Rightarrow\text{Slope}=\dfrac{-4}{2}=-2[/tex]

Hence, the slope of the line segment XY = -2

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