Answers

  • Brainly User
2016-01-07T10:17:06+08:00
M (slope) =  \frac{y _{2} -y _{1} }{ x_{2}- x_{1}   }

Given:
m = 1/2
y₂ = -1
y₁ = n
x₂ = 5
x₁ = -5

Plug-in to slope formula to find n:

 \frac{1}{2} =  \frac{-1-(n)}{5-(-5)}

 \frac{1}{2} =  \frac{-1-(n)}{5+5}

 \frac{1}{2}=  \frac{-1-(n)}{10}

Multiply each term on both sides of equation by LCD 10:

(10) \frac{1}{2}= \frac{-1-(n)}{10}  (10)

5 = -1 - n

5 + 1 = -1 + 1 - n

6 = -n

(-1)6 =-n (-1)

n = 6

ANSWER:  n (y₁) = - 6

Check:
Points (-5, -6) and (5, -1); m = 1/2

m =  \frac{-1 - (-6)}{5 - (-5)}

m =  \frac{-1 +6}{5 + 5}

m =  \frac{5}{10}

m =  \frac{1}{2}



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