A line segment has the endpoints (2,-5) and (-1,-1).
What is the slope?
-1/6
-6/1
-3/4
-4/3
My answer: -3/4
slope = change in y / change in x
= (-5 + 1)/(2+1)
= -4/3
can you see your error ?
Yes I do, thank you
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To find the slope of a line segment, you can use the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
In this case, the endpoints of the line segment are (2, -5) and (-1, -1). The change in y-coordinates is calculated as:
Δy = (-1) - (-5) = 4
Similarly, the change in x-coordinates is calculated as:
Δx = (-1) - 2 = -3
Now, we can calculate the slope by dividing the change in y-coordinates by the change in x-coordinates:
slope = Δy / Δx = 4 / (-3) = -4/3
Therefore, the slope of the line segment with endpoints (2, -5) and (-1, -1) is -4/3.