LINR 1 | Lesson 4 | Practice (Solutions)

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

  2. Slope:  \(\Large\frac{9-7}{12-8}\) = \(\Large\frac{2}{4}\)=\(\Large\frac{1}{2}\)
  • Using the point \((2, 4)\)
  • In Slope-Intercept Form:  \[y-4 =\frac{1}{2}(x-2)\]\[y -4=\frac{1}{2}x -1\] \[y =\frac{1}{2}x +3\]
  • In Standard Form: \[y =\frac{1}{2}x +3\] \[2y=x+6\]\[x-2y=-6\]

    3. Slope:  \(\Large\frac{6-18}{4-(-2)}\) = \(\Large\frac{-12}{6}\) \( -2\)

  • Using the point \((4,6)\)
  • In Slope-Intercept Form: \[y-6=-2(x-4)\]\[y-6=-2x+8\]\[y=-2x+14\]
  • In Standard Form:  \[y=-2x+14\]\[2x + y = 14\]

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