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nexus9112 [7]
3 years ago
5

Write the equation of the line with a slope of 2 that passes through the points -2,-7 and 5,7

Mathematics
1 answer:
lubasha [3.4K]3 years ago
8 0

Answer:

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

2x - y = 3

Step-by-step explanation:

Given:

Slope = 2 = m ( say )

Let,

point A( x₁ , y₁) ≡ ( -2 , -7 )

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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Step-by-step explanation:

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Read 2 more answers
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<h2>x = -0.2</h2>

Step-by-step explanation:

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\text{Distributive property:}\ a(b+c)=ab+ac\\\text{Associative property:}\ (a+b)+c=a+(b+c)

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