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QveST [7]
2 years ago
5

A line of a slope of 8 passes through the point (-6,4). What is its equation in point slope form?

Mathematics
1 answer:
kotykmax [81]2 years ago
4 0

Answer:

\huge\boxed{y-4=8(x+6)}

Step-by-step explanation:

The equation of a line in the point-slope form:

y-y_1=m(x-x_1)

m-slope\\\\(x_1;\ y_1)-point

We have:

m=8\\\\(-6;\ 4)\to x_1=-6;\ y_1=4

Substitute:

y-4=8(x-(-6))\\\\y-4=8(x+6)

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A car rental company charges $10 a day and 17 cents per mile to rent their cars. If the total charge for a 2-day rental were $61
borishaifa [10]

Answer:

245 miles driven.

Step-by-step explanation:

A car rental company charges $10 a day and 17 cents per mile to rent their cars. 17 cents = 0.17 dollars

Let x be the number of miles and y be the number of days

total change =0.17x  + 10y

Given total change is 61.65 and number of days = 2

plug in the values and find out the number of miles

61.65 = 0.17 x + 2(10)

61.65 = 0.17 x + 20

subtract 20 on both sides

41.65 = 0.17x

Divide by 0.17 on both sides

x = 245

245 miles driven.


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