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sladkih [1.3K]
3 years ago
10

What is an equation of the line that passes through the point (-4, -7) and is

Mathematics
1 answer:
ale4655 [162]3 years ago
6 0

Answer:

The answer is

<h2>y = 3x + 5</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the line parallel to 3x - y = 14 we must first find the slope of 3x - y = 14.

So we have

y = 3x - 14

Comparing with the general equation above

Slope / m = 3

Since the lines are parallel their slope are also the same

So slope of parallel line = 3

Equation of the line using point ( - 4 , -7) and slope 3 is

<h3>y + 7 = 3(x + 4) \\ y + 7 = 3x + 12 \\ y = 3x  + 12 - 7</h3>

We have the final answer as

<h3>y = 3x + 5</h3>

Hope this helps you

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<h3>What is the elimination method?</h3>

To solve the system of equations and find the value of the variables, the elimination method is used.

In this method, one variable is eliminated from the system of equations to find the value of the other.

Given information-

The system of the equation given in the problem is,

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The second equation given in the problem is;

\rm \dfrac{2}{3}x-\dfrac{1}{6}y=6

To eliminate the x term, make the coefficient of x of both equations equal.

It can be done by multiplying the coefficient of x term of the first equation to the second equation and the coefficient of x term of the second equation to the first equation.

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