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Sloan [31]
3 years ago
14

Passes through (3,-6) and (-1, 2)

Mathematics
1 answer:
hram777 [196]3 years ago
7 0

Answer:

Therefore, Equation of line and the slope is

y=-2x

Slope = -2

Step-by-step explanation:

Given:  

Let,  

point A( x₁ , y₁) ≡ ( 3 ,-6)

point B( x₂ , y₂ )≡ (-1 , 2)

To Find:  

Equation of Line AB =? ( Assumption)

Solution:  

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

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

Now on substituting the slope and point A( x₁ , y₁) ≡ ( 3 , 6) and B( x₂ , y₂ )≡ (-1 , 2) we get  

(y-(-6))=\dfrac{2--6}{-1-3}\times (x-3)\\\\y+6=\dfrac{8}{-4}(x-3)\\\\y+6=-2(x-3)\\y+6=-2x+6\\y=-2x .....Required Equation of line

Which is also in the form of

y=mx ....Also called as Equation of line Passing through Origin.

where , m =slope

Therefore, Equation of line and the slope is

y=-2x

Slope = -2

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