LINR 1 | Lesson 4 | Practice (Writing Equations of Lines) Solutions

  1. \(35x + 18y = $25,700\)

  1. Slope:  \(\dfrac{9-7}{12-8}\) = \(\dfrac{2}{4}\)=\(\dfrac{1}{2}\)
  • Using the point \((2, 4)\)
  • In Slope-Intercept Form:

\[\begin{align} y-4 &=\dfrac{1}{2}(x-2) \\\\ y-4&=\dfrac{1}{2}x-1\\\\y &=\dfrac{1}{2}x+3\end{align}\]

  • In Standard Form:

\[\begin{align}y &=\dfrac{1}{2}x+3\\\\ 2y&=x+6\\\\x-2y&=-6\end{align}\]


  1. Slope:  \(\dfrac{6-18}{4-(-2)}\) = \(\dfrac{-12}{6}\)= \(-2\)
  • Using the point \((4,6)\)
  • In Slope-Intercept Form:

\[\begin{align}y-6&=-2(x-4)\\\\y-6&=-2x+8\\\\y&=-2x+14\end{align}\]

  • In Standard Form:

\[\begin{align}y&=-2x+14\\\\2x+y&=14\end{align}\]


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