The answer is y = -5.5x - 52.
First, let's find the slope of the line.
m = Δy/Δx
- m = -8 - 3 / -8 - (-10)
- m = -11 / -8 + 10
- m = -11/2
- m = -5.5
Now, substitute the slope and one of the given points in the point slope equation.
<u>y - y₁ = m (x - x₁)</u>
- y - 3 = -5.5 (x - (-10))
- y - 3 = -5.5 (x + 10)
- y - 3 = -5.5x - 55
- y = -5.5x - 52
Answer:
Bus speed: 22 mph; Trolley speed: 14 mph
Step-by-step explanation:
Let rb represent the speed of the bus and rt the speed of the trolley. Then rb = rt + 8 (mph).
Recall that distance = rate times time. Two different distances and two different speeds are involved here, but only one time.
Thus,
60 mi 44 mi
--------------------- = time (same in both cases) = -------------
rt + 8 mi/hr rt
Cross-multiplying, we get 44rt + 8(44) = 60 rt, or
352 = 16rt.
Solving this for rt, we get rt = speed of bus = 352/16 = 22 mph
The speed at which the bus travels is 22 mph and that at which the trolley travels is (22 mph - 8 mph) = 14 mph
The order from least to greatest would be 1/5, 1/3, then 4/6.
To solve, multiply the fractions so that they all have the same denominator. I multiplied the 1/3 by 10, 1/5 by 6, and 4/6 by 5. After they all have a common denominator, you can easily order them from the numerator.
10(1/3) = 10 / 30
6(1/5) = 6 / 30
5(4/6) = 20 / 30
6/30, 10/30, 20/30
Hope this helps! :)
Step-by-step explanation:
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