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2 years ago

Find an equation of the line with the given slope that passes through the given point Write the equation in the form Ax + By = C

Mathematics

1 answer:

guajiro [1.7K]2 years ago

8 0

Answer:

$8x + y = - 52$

Step-by-step explanation:

m= -8

p (-6,-4)

Formula for equation of a logbook passing through to points:

$y - y1 = m(x - x1)$
where y1= -4 and x1= -6
$y - ( - 4) = - 8(x - ( - 6)) \\ y + 4 = - 8(x + 6) \\ y + 4 = - 8x - 48 \\ 8x + y = - 52$

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3 years ago

Think of a number, divide it by 5 and then add 27 to the result. The resulting number is half of the original number. What was t

Salsk061 [2.6K]

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100 = my number
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3 years ago

A group of retailers will buy 104 televisions from a wholesaler if the price is $300 and 144 if the price is $250. The wholesale

stepladder [879]

Answer:

The required equilibrium point is (356.538,58.769)

Step-by-step explanation:

The two points on your demand equation are : (300,104) and (250,144)

Take the number of televisions on y-axis and the price of the television on x-axis

Now, to find the demand equation for the given problem, find slope using the above two points :

$\implies Slope=\frac{144-104}{250-300}\\\\\implies Slope = -\frac{4}{5}=-0.8$

And the y - intercept is : y = -0.8x + b

Find the value of b using any point. Let us take (250,144)

144 = -0.8 × 250 + b

⇒ b = 144 + 200

⇒ b = 344

So, the y-intercept is : y = -0.8x + 344

The two points on your supply equation are : (225,88) and (315,68)

Take the number of televisions on y-axis and the price of the television on x-axis

Now, to find the supply equation for the given problem, find slope using the above two points :

$\implies Slope=\frac{68-88}{315-225}\\\\\implies Slope = -\frac{2}{9}$

And the y - intercept is :

$y = -\frac{2}{9}x + b$

Find the value of b using any point. Let us take (225,88)

$88 = -\frac{2}{9}\times 225 + b\\\\\implies b = 88 + 50\\\\\implies b = 138$

So, the y-intercept is :

$y = -\frac{2}{9}x + 138$

To find the equilibrium point, solve both the y-intercepts of the demand equation and the supply equation :

⇒ x = 356.538 and y = 58.769

Hence, the required equilibrium point is (356.538,58.769)

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3 years ago