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The slope of line segment AC is -0.4

Step-by-step explanation:

From the diagram shown, the two line segments DE and AC are parallel.

If two lines are parallel then they have equal slopes

Step-by-step explanation:

Given the initial ratio of 3 parts water to 5 parts fruit juice, you can set up a proportion (equivalent ratios) to determine the amount of water needed with just 1 part of fruit juice:

cross multiply: 5x = 3

divide: 5x/5 = 3/5 or x = 3/5

3/5 = 0.6 parts water