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1 year ago

A line passes through the points (3,0) and (4,2). What is its equation in slope-intercept form?

Mathematics

1 answer:

N76 [4]1 year ago

3 0

Answer:

y = 2x - 6

Step-by-step explanation:

<h2>Slope intercept form:</h2>

Equation of the line:

$\sf \boxed{ y = mx +b}$

Here m is the slope and b is the y-intercept.

Step 1: Find the slope

(3 , 0) ⇒ x₁ = 3 & y₁ = 0

(4 , 2) ⇒ x₂ = 4 & y₂ = 2

$\sf \boxed{Slope=\dfrac{y_2-y_1}{x_2-x_1}}$

$\sf = \dfrac{2 -0}{4-3}\\\\= \dfrac{2}{1}\\\\=2$

Step2: Now, substitute the value of 'm' in the equation.

y = 2x + b

Step3: In the above equation plug in any point. Here, (3 ,0) is chosed.

0 = 2*3 + b

0 = 6 + b

-6 = b

Step4: Equation of the line:

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A firm producing 7 units of output has an average total cost of Rs. 150 and has to pay Rs.350 to its fixed factors of production

maria [59]

Rs 100 of the average total cost is made up of variable costs.

Step-by-step explanation:

Given:

Number of output the firm produces= 7 units

Average cost of the output= Rs. 150

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To Find:

How much of the average total cost is made up of variable costs=?

Solution:

we know that,

Average total cost= total cost/ number of output units produced

substituting the values, we get

$150=\frac{\text{Total cost}}{7}$

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Total cost = Total fixed cost + Total variable cost

plug in the known values.

1050= 350 + Total variable cost

Total variable cost = 1050-350

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3 years ago

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Iteru [2.4K]

Answer:

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Step-by-step explanation:

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2 years ago

Maya and Mabel are inspecting an 80:1 scale floor plan of their new house. The dimensions of the living room on the scaled floor

AveGali [126]

Answer:

208 ⅓ ft²

Step-by-step explanation:

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2 years ago

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Liono4ka [1.6K]

Answer:

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Step-by-step explanation:

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IceJOKER [234]

I hope this helps you

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3 years ago

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