text: ## Intermediate Algebra (6th Edition)
  
  $11x+y=-52$
  Using $y-y_1=\dfrac{y_1-y_2}{x_1-x_2}(x-x_1)$ or the Two-Point Form, the equation of the line passing through $( -5,3 )$ and $( -4,-8 )$ is \begin{array}{l} y-3=\dfrac{3-(-8)}{-5-(-4)}(x-(-5)) \\\\ y-3=\dfrac{3+8}{-5+4}(x+5) \\\\ y-3=\dfrac{11}{-1}(x+5) \\\\ y-3=-11(x+5) \\\\ y-3=-11x-55 \\\\ 11x+y=-55+3 \\\\ 11x+y=-52 .\end{array}
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