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Ilia_Sergeevich [38]
2 years ago
13

Which ordered pair represents the solution to:

Mathematics
1 answer:
Serjik [45]2 years ago
8 0
2x6=12
3x6=18
12+18=22

2x3=6
2x6=12

6+12=18
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Write the equation of the line with a slope of 2 that passes through the points -2,-7 and 5,7
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Answer:

Therefore the equation of the line through ( -2 , -7 ) and ( 5 , 7 ) is

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Step-by-step explanation:

Given:

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Let,

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point B( x₂ , y₂) ≡ ( 5 , 7 )

To Find:

Equation of Line AB =?

Solution:

Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula,

(y - y_{1} )=(\frac{y_{2}-y_{1} }{x_{2}-x_{1} })\times(x-x_{1}) \\

Or

Equation of a line passing through a points A( x₁ , y₁) and i having slope m is given by the formula,

(y - y_{1} )=m\times(x-x_{1}) \\

Substituting the given values in a above equation we get

(y-(-7))=2\times (x-(-2))\\ \\(y+7)=2(x+2)\\\\(y+7)=2x+4\\2x-y=3\\2x-y=3...............\textrm{which is the required equation of the line AB}

Therefore the equation of the line through ( -2 , -7 ) and ( 5 , 7 ) is

2x - y = 3

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