14.Write an equation of the line that passes through (2, 7)(2, 7) and (0, −5)
1 answer:
Answer:
<h2>14. y = 6x - 5</h2><h2>15. y = -4x - 24</h2>Step-by-step explanation:
The slope-intercept form of an equation of a line:
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercet → (0, b)</em>
The formula of a slope:
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14.
(2, 7), (0, -5) → <em>b = -5</em>
Calculate the slope:
The equation of a line:
15.
(-6, 0), (0, -24) → <em>b = -24</em>
Calculate the slope:
The equation of a line:
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Answer:
a) The trains will be 1520 km apart at 2:40 pm for the cargo train and at 4:40 pm for the passenger train.
b) At that time the cargo train has traveled 560.04 km and the passenger train has traveled 960.12 km.
Step-by-step explanation:
a) First, we need to find the distance traveled by the cargo train in the two hours before the passenger train leaves Chicago:
Now, we can find the time when the trains will be 1520 km apart:
Where 1 is for the cargo train and 2 is for the passenger train.
Since we need to calculate the time when the trains are 1520 km apart, t₁ = t₂, so:
For the cargo train, it will be 1520 km apart from the passenger train at:
And for a passenger train, it will be 1520 km apart from the cargo train at:
Hence, the trains will be 1520 km apart at 2:40 pm for the cargo train and at 4:40 pm for the passenger train.
b) The distance traveled by both trains is given by:
Therefore, at that time the cargo train has traveled 560.04 km and the passenger train has traveled 960.12 km.
I hope it helps you!