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3 years ago

What is an equation of the line that passes through the point

Mathematics

1 answer:

bulgar [2K]3 years ago

8 0

Answer: y = 4x + 11

Step-by-step explanation:First, you put the equation into the standard “slope/intercept” form.

4x -y = 2 subtract 4x from both sides ; -y = -4x + 2 Multiply by -1 :

y = 4x - 2

In this standard form we see that the slope of the line (coefficient of x) is 4. ANY line parallel to this one must thus also have a slope of 4.

y = 4x - a (generic)

ANY other combination of slope multiples and constant terms will therefore also be lines parallel to this one. The one that passes through a specific point will simply have a different constant term.

We find this by putting our point value into the equation:

3 = 4(-2) + a ; 3 = -8 + a ; a = 11

Thus, our “parallel line equation” through the point (-2,3) is:

y = 4x + 11

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——————- more than 123 is 223.

Vinil7 [7]

Answer:

x=100

Step-by-step explanation:

x+123=223

x=223-123

x=100

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3 years ago

Write an equation that has a slope of -2 and passes through (-6, 2)

Lelechka [254]

Answer:

y = - 2x - 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2, thus

y = - 2x + c ← is the partial equation

To find c substitute (- 6, 2) into the partial equation

2 = 12 + c ⇒ c = 2 - 12 = - 10

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3 years ago

Endpoint: (9,-10), midpoint: (4,8)

Alika [10]

Answer:

( -1 , 26)

Step-by-step explanation:

So since you need to find the other endpoint, you would follow these steps:

1.) $4 = \frac{9 + x}{2\\}$

2.) 8 = 9 + x ( you just multiplied the 2 to the 4 to get 8)

3.) -1 = x (just solve it like a regular equation, so just subtract 9 on both sides to get rid of it and that leaves you with -1 = x)

You took the x values of both points and put them in the equation.

And its the same for y

1.) $8 = \frac{-10 + y}{2}$

2.) 16 = -10 + y

3.) 26 = y (you added the 10 on both sides because the 10 was negative and that took the 10 out and so it left you with 26 = y)

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3 years ago

a woman is expecting triplets. what is the probability that there are 2 girls and 1 boy? what is the probability that all 3 babi

navik [9.2K]

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3 years ago

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