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BARSIC [14]
2 years ago
8

The equation of a line is y = 2x + 3. What is the equation of the line that is parallel to the first line and passes through (2,

–1)?
Mathematics
1 answer:
Masja [62]2 years ago
8 0

Answer:

y = 2x - 5

Step-by-step explanation:

The slope for a parallel line is the same as the slope in the given equation.  Therefore the slope of the new line will be 2    m= 2

use that slope and (2, -1) to find b

-1 = 2(2) + b

-1 = 4 + b

-5 = b

Plug m and b into y = mx + b

y = 2x - 5

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Answer:

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Step-by-step explanation:

The general form of the linear equation is:

P=aQ+b

The slope of the equation (a) can be found by using the two given points (4,000; $133) and (27,000; $41)

a = \frac{\$41-\$133}{27,000-4,000}\\a=-0.004

Applying the point (4,000; $133) to the equation below yields in the linear equation for Price as a function of the number of shirts:

P-P_0=a(Q-Q_0)\\P-133=-0.004(Q-4,000)\\P = -0.004Q+149

The linear equation is:

P = -0.004Q + 149

8 0
3 years ago
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