Respuesta :

Answer:

[tex]y=\frac{8}{5}x-1[/tex]

Step-by-step explanation:

Recall:

  • Slope -> [tex]m=\frac{Rise}{Run}=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]
  • Slope-intercept form -> [tex]y=mx+b[/tex]
  • Y-intercept -> [tex]b[/tex]

Given:

  • [tex](x_1,y_1) = (0,-1)[/tex]
  • [tex](x_2,y_2) = (-5,-9)[/tex]

Slope calculation:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}=\frac{-9-(-1)}{-5-0}=\frac{-9+1}{-5}=-\frac{8}{5}=\frac{8}{5}[/tex]

Y-intercept calculation:

[tex]y=\frac{8}{5}x+b[/tex]

[tex]-1=\frac{8}{5}(0)+b[/tex]

[tex]-1=0+b[/tex]

[tex]-1=b[/tex]

Final equation:

[tex]y=\frac{8}{5}x-1[/tex]

Otras preguntas