Answer:
a) 3/4
b) 3/4
c) 3/4
d) all are 3/4
Step-by-step explanation:
The slope of a line is defined as the change in y divided by the change in x. This is often referred to as "rise over run":
slope = Δy/Δx = "rise"/"run"
The triangles are drawn against the line so that you can use them to identify values of "rise" (vertical change) and "run" (horizontal change) between two points on the line.
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a)
The slope of the segment AC is found by dividing the "rise" (BC = 3) by the "run"(AB = 4)
slope of AC = BC/AB = 3/4
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b)
The slope of FH is similarly computed. Here, it is made a little more difficult, because you must estimate the value of GH.
slope of FH = GH/FG = 1.5/2 = 0.75 = 3/4
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c)
The slope of CE is ...
slope of CE = DE/CD = 6/8 = 3/4
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d)
The slopes in a), b), c) are all 3/4.
You can reasonably draw the conclusion that the slope of a line is the same everywhere. A line has constant slope.
