The goal of the elimination method is the same as the goal of the substitution method. The goal is:

Which equation represents a line that passes through (–9, –3) and has a slope of –6?

Dahasolnce [82]

<h2>Hello!</h2>

The answer is:

The last equation,

$y+3=-6(x+9)$

To find which of the given equations represents a line that passes through the point (-9,-3) and has a slope of -6, we need to find an equation that can be satisfied by evaluating the given point.

We can see that the only equation that can be satisfied evaluating the point (-9,-3) is the last equation:

$y+3=-6(x+9)$

Evaluating the point, we have:

$-3+3=-6*(-9+9)$

$0=-6*(0)$

$0=0$

We can see that the equation is satisfied!

Also, we can see that evaluating the point into the other equations, they will not be satisfied.

Let's prove that:

Evaluating:

First equation:

$y-9=-6(x-3)\\-3-9=-6*(-9-3)\\-12=-6*(-12)=72$

The equation is not satisfied.

Second equation:

$y+9=-6(x+3)\\-3+9=-6*(-9+3)\\6=-6*(-6)=36$

The equation is not satisfied.

Third equation:

$y-3=-6(x-9)$

$-3-3=-6(-9-9)$

$-6=-6(-18)=108$

The equation is not satisfied.

Hence, the correct option is the last option, the equation that represents a line that passes through (–9, –3) and has a slope of –6 is the last equation:

$y+3=-6(x+9)$

Have a nice day!

Note: I have attached a picture for better understanding.

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3 years ago

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R − 38 = 9<br> please solve the equation

Karolina [17]

Answer:

r = 47

Step-by-step explanation:

r - 38 = 9

r- 38 + 38 = 9 + 38

simplify

r = 47

8 0

3 years ago

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How much will you have contributed to a 20 payment life insurance policy that has a face value of $45200 over a 15 year period g

Elena-2011 [213]

Answer:

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Step-by-step explanation:

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A welder charges a one-time fee and an hourly

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Answer:

y=22h+18, where h is the working hour, y is the charge

Step-by-step explanation:

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78.84 meters= Centimeter

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Answer:

7884 Centemeters

Step-by-step explanation:

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