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Studentka2010 [4]
2 years ago
9

Write in slope-intercept form an equation of the line that passes through the given points (4, 1), (8, 2)

Mathematics
1 answer:
Sergio [31]2 years ago
4 0
Find slope first
(2-1)/(8-4) = 1/4
Format: y = mx + b
y = 1/4x + b
Plug in one point
1 = 1/4(4) + b, b = 0
Solution y = 1/4x
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cupoosta [38]

Answer:

4 miles

Step-by-step explanation:

Let

x ----> the time to returned back biking in hours

d ---> the distance in miles

s ---> speed in miles per hour

Remember that

The speed or rate is equal to divide the distance by the time

s=\frac{d}{t}

The distance is equal to multiply the speed by the time

d=st

we know that

18\ min=\frac{18}{60}\ hours

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so

10x=4(x+\frac{18}{60})

solve for x

10x=4x+\frac{18}{15}

subtract 4x both sides

10x-4x=\frac{18}{15}

6x=\frac{18}{15}

x=\frac{1}{5}\ hours

The total distance of the round trip is

y=10x+4x+\frac{18}{15}

substitute the value of x

y=10(\frac{1}{5})+4(\frac{1}{5})+\frac{18}{15}

y=2+2=4\ miles

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