Question

Write the standard form of the line that passes through the given points. Include your work in your final answer.

Answer 1

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{3 - 5}{-2 - 1} = \frac{-2}{-3} = \frac{2}{3}$

             y - y₁ = m(x - x₁)
              y - 5 = ²/₃(x - 1)
              y - 5 = ²/₃(x) - ²/₃(1)
              y - 5 = ²/₃x - ²/₃
                + 5          + 5
                   y = ²/₃x + 4¹/₃
         ⁻²/₃x + y = ²/₃x - ²/₃x + 4¹/₃
         ⁻²/₃x + y = 4¹/₃
    -3(⁻²/₃x + y) = -3(4¹/₃)
-3(⁻²/₃x) - 3(y) = -13
          2x - 3y = -13