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Answer:
slope = 1
Step-by-step explanation:
In the attachment, we have shown rise and run as 3 units each. The segments could be drawn 1 unit long. In any event, the ratio is the slope:
slope = rise/run = 3/3
slope = 1
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It is most convenient to draw the rise and run segments from/to places where the line crosses grid intersections. Often, but not always, the y-intercept will be such a point. Then you can look for the nearest grid crossing for figuring rise and run.
Here, the y-intercept is (0, 1), and the closest grid crossing to the right is (1, 2). The rise is 2-1 = 1, and the run is 1-0 = 1. The ratio is 1/1 = 1, same as above. The ratio of rise to run will be the same everywhere for a straight line.
If the two triangles are similar you can use a proportion to solve for the length of the legs.
=
Now, you would cross multiply to get
4x=18
Now, you simplify that using the division property of equality.
You end up with
x=4.5
Therefore, the legs of the triangle with a base of 9 inches will each be 4.5 units long.
Now, you would cross multiply to get
4x=18
Now, you simplify that using the division property of equality.
You end up with
x=4.5
Therefore, the legs of the triangle with a base of 9 inches will each be 4.5 units long.