Select all that apply. Which of the following are equivalent?
2 answers:
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Answer:
<em>A. The slope formed by ΔABC has a value that is 1/2 the slope formed by ΔCDE</em>
Step-by-step explanation:
Find the diagram attached.
Slope is the change in y coordinates tom that of x coordinate of a line.
Slope = Δy/Δx
Slope = y2-y1/x2-x1
For ΔABC,
A(-3, 6) and C = (-1, 3)
Slope = 3-6/-1-(-3)
Slope = -3/-1+3
Slope = -3/2
Slope of line AC is -3/2
For ΔCDE,
C = (-1, 3) and E = (3, -3)
Slope = -3-3/3-1
Slope = -6/2
Slope = -3
Slope of line CE is -3
From the calculation above, it can be seen that Slope of ΔABC = 1/2(slope of ΔCDE)
-3/2 = 1/2 (-3)
-3/2 = -3/2
<em>Hence the correct option is A. The slope formed by ΔABC has a value that is 1/2 the slope formed by ΔCDE</em>
