Answer:
Step-by-step explanation:
We want to write the equation of a line that passes through (5, 6) and (-1, 4).
First, let's find our slope. We can use the slope formula:
Let's let (5, 6) be (x₁, y₁) and let's let (-1, 4) be (x₂, y₂). So, our slope is:
Subtract:
Reduce:
So, our slope is 1/3.
Now, we can use the point-slope form, which is:
For consistency, let's let (5, 6) be (x₁, y₁). We will also substitute 1/3 for m. So:
Distribute:
Add 6 to both sides:
Add:
And we're done!
We have,
Finding time taken by the man,
⇛ Average speed = Total Distance/Total time
⇛ Total time = Total Distance/Average speed
⇛ Total time = 325 km/50 km/h
⇛ Total time = 6.5 h (6 hrs 30 mins)
(a) Total Time duration,
⇛ Total Time = Reaching Time - Departing time
⇛ 6.5 h = Reaching Time - 10 : 45 hours
⇛ Reaching Time = 17 : 15 hours ( 5 : 15 pm)
(b) Finding time taken in return,
Total time duration,
⇛ Total Time = Reaching Time - Departing time
⇛ Total Time = 23 : 10 hours - 18 : 35 hours
⇛ Total Time = 22 : 70 hours - 18 : 35 hours
⇛ Total time = 4 : 35 hours
☕ Hence, solved !!
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