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Leona [35]
3 years ago
7

Write an equation in point-slope form for the line through the given point with the given slope.

Mathematics
2 answers:
DedPeter [7]3 years ago
5 0

Answer is y - 3 = 6 (x - 8) .



Brut [27]3 years ago
5 0

Answer:

y - 3 = 6(x - 8)

Step-by-step explanation:

The slope of a line which is the changes of the line along the Y and X axes through a point is given as m where

m = (y - y₁)/(x - x₁) where y ₁ and x₁ are the given points the line passes through.

Given that m = 6, (x₁,y₁) = (8,3)

Then,

6 = (y - 3)/(x - 8)

6(x - 8) = y - 3

Hence the right option is y - 3 = 6(x - 8)

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3 years ago
Barry's savings account has a balance of $2874. After 9 years, what will the amount of interest be at 5% compounded annually?
tatyana61 [14]
What you need to do is take $2874 and divide the 5% and then times the 9 by what you get 

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4 years ago
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The photography club decided to go on a field trip to the Andy Warhol museum. They had to break into smaller groups once they go
Diano4ka-milaya [45]
A)
Let x represent the cost of 1 student, and y the cost of 1 teacher.

B)
In the first group, there's 25 students and 2 teachers. Their total cost is $97.50
So 25x + 2y = 97.50
In the second group, there's 32 students and 3 teachers. Their total cost is $127
So 32x + 3y = 127

We get the following system of equations:
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)

C)
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)

In equation (1)
25x + 2y = 97.50
25x + 2y - 2y = 97.50 - 2y
25x = 97.50 - 2y
25x / 25 = 97.50/25 - 2y/25
x = 3.9 - (2/25)y

In equation (2), let's replace x by its algebraic value
32x + 3y = 127
32(-2/25y + 3.9) + 3y = 127
11/25y + 124.8 = 127
11/25y + 124.8 - 124.8 = 127 - 124.8
11/25y = 2.2
(11/25y) / (11/25) = 2.2 / (11/25)
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x = -2/25y + 3.9
x = -2/25 * 5 + 3.9
x = 3.5

So the cost of each student is $3.5, and the cost of each teacher is $5.

Hope this helps! :)




4 0
3 years ago
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