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After 4 hours of driving, Jan is 248 miles away from home. After 6 hours of driving, she is 372 miles from home. Write an equation in point-slope form to determine her distance y from home after x hours.

Verified Answer :

Parkourpeep

4y=248x
Divide by 4
y=62x
6y=372x
Divide by 6
y=62x
For every hour of driving (y) Jan goes 62 miles (x)

Answer with Step-by-step explanation:

Equation of the point slope form is:

\(y-y1=\dfrac{y2-y1}{x2-x1}\times (x-x1)\)

Let y be the distance from home and x be the number of hours.

Here, x1=4 and x2=6

y1=248 and y2=372

\(y-248=\dfrac{372-248}{6-4}\times (x-4)\)

\(y-248=\dfrac{124}{2}\times (x-4)\)

y-248=62(x-4)

y=62x-62×4+248

y= 62x-248+248

y=62x

Hence, equation in point-slope form to determine her distance y from home after x hours is:

y=62x

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