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Elena-2011 [213]
4 years ago
9

Write the equation of the line that passes through the points (3,4) and (1,5)

Mathematics
2 answers:
Illusion [34]4 years ago
8 0
Hi,

y=  -\frac{1}{2} x+b



Nostrana [21]4 years ago
3 0
Given points
(x₁,y₁) = (3,4)
(x₂,y₂) = (1,5)

FIRST
Find the slope of the line. This is general formula to determine the slope
m = (y₂ - y₁)/(x₂ - x₁)

Plug in the numbers to the formula
m = (y₂ - y₁)/(x₂ - x₁)
m = (5 - 4)/(1 - 3)
m = 1/(-2)
m = -1/2

SECOND
Determine the line equation
This is general formula to determine the line equation
y - y₁ = m(x - x₁)

Plug in the numbers
y - 4 = -1/2 (x - 3)
y - 4 = (-1/2)x + 3/2
y = (-1/2)x + 3/2 + 4
y = (-1/2)x + 11/2
(this is the equation of the line)
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3 years ago
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amid [387]

Answer:

"subtracting b, then dividing by m"

Step-by-step explanation:

To solve for a particular variable, look a the operations that are being performed on that variable. Then "undo" those operations in reverse order.

Here, the operations done to x are ...

• multiply by m

• add b to the product

Using the above recipe, first we "undo" the additon of b. We accomplish that by subtracting b from both sides of the equation. This gives ...

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This is your solution for x:

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6 0
4 years ago
Because of variability in the manufacturing process, the actual yielding point of a sample of mild steel subjected to increasing
photoshop1234 [79]

Answer:

P-value ≈ 0.3463

Step-by-step explanation:

Hypothesis test would be

H_{0}:p=0.20

H_{a}:p>0.20

We need to calculate the z-score of sample proportion and then the corresponding P-value.

z-score can be calculated as:

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Using the numbers

z=\frac{0.225-0.2}{\sqrt{\frac{0.2*0.8}{40} } } =0.3953

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80*0.62
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