9514 1404 393
Answer:
- y -3 = 5(x -1)
- y +1 = -3(x +2)
- y +7 = -1/4(x -4)
Step-by-step explanation:
When you are given a point and a slope, and asked for the equation in point-slope form, it is simply a matter of putting the given numbers into the appropriate places in the equation template.
y -k = m(x -h) . . . . . . point (h, k), slope m
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1. y -3 = 5(x -1) . . . . . . point (1, 3), slope 5
2. y +1 = -3(x +2) . . . . point (-2, -1), slope -3
note that for k=-1, -k = -(-1) = +1; similarly the value of -h becomes +2
3. y +7 = -1/4(x -4) . . . point (4, -7), slope -1/4
The question is Max owes Becky for the movie how much.. the pizza information is a distractor.
Max has a coupon for 1/2 off a third movie ticket when 2 are purchased for regular price of $9.80
2 x (9.80) + 1/2 x (9.80) = 19.60 + 4.90 = $24.50 total all 3 tickets
Since they agree to split the cost equally, divide total cost by 3
24.50 / 3 = $8.16 each
The answer is: Between $8 and $10
The formula for simple interest is:
A = P(1+rt)
Where P = amount borrowed
r = interest rate
t = time of loan
A = 5000(1 + 0.125*2)
A =6,250
The total amount she paid back was $6,250
For her monthly payment divide total paid back by 24 months ( 2 years = 24 months)
6250 / 24 = 260.42
Her monthly payment was $260.42
Let W = number of white cars, and Y = number of yellow cars.
There were 9 times as many white cars as yellow cars. This means that the number of white cars was 9 times more than the number of yellow cars. This can be translated by the expression:
9Y = W
The person counted 40 cars in total:
W + Y = 40
So we get the system:

In the first equation, we multiply by 9:
9W + 9Y = 360
In the second equation:
9Y= W
W-9Y = 0
Then we add the first with the second equation:
9W + 9Y + W - 9Y = 360
10 W = 360
W = 36
So He counted 36 white cars.
Hope this Helps! :)