m (slope) = [tex] \frac{y _{2} -y _{1} }{ x_{2}- x_{1} } [/tex]
Given:
m = 1/2
y₂ = -1
y₁ = n
x₂ = 5
x₁ = -5
Plug-in to slope formula to find n:
[tex] \frac{1}{2} = \frac{-1-(n)}{5-(-5)} [/tex]
[tex] \frac{1}{2} = \frac{-1-(n)}{5+5} [/tex]
[tex] \frac{1}{2}= \frac{-1-(n)}{10} [/tex]
Multiply each term on both sides of equation by LCD 10:
(10)[tex] \frac{1}{2}= \frac{-1-(n)}{10} [/tex] (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 = [tex] \frac{-1 - (-6)}{5 - (-5)} [/tex]
m = [tex] \frac{-1 +6}{5 + 5} [/tex]
m = [tex] \frac{5}{10} [/tex]
m = [tex] \frac{1}{2} [/tex]
