Line b passes through the point ( (6,4) and has a slope of -2. What is the equation of Line b in standard form?

2x + y = -11
x + 2y = -14
x + 2y = -16
2x + y = 16

Answers

Answer 1

Answer:

Equation of line b in standard form is: [tex]\mathbf{2x+y=-11}[/tex]

Option A is correct.

Step-by-step explanation:

We need to find equation of line b that passes through the point ( (6,4) and has a slope of -2.

First we need to find y-intercept of line using formula: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

Using m=-2 , x=6 and y=4 the y-intercept will be:

[tex]y=mx+b\\4=-2(6)+b\\4=12+b\\b=4-12\\b=-11[/tex]

Now finding the equation of line having slope m=-2 and y-intercept b=-11

[tex]y=mx+b\\y=-2x-11[/tex]

Writing the equation in standard form

[tex]y=-2x-11\\2x+y=-11[/tex]

So, equation of line b in standard form is: [tex]\mathbf{2x+y=-11}[/tex]

Option A is correct.


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Answers

Answer:

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Step-by-step explanation:

Given that:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

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no? :I

Step-by-step explanation:


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Answer:

The answer is below

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