Respuesta :

chetankachana

Answer:

[tex]y = -\frac13 x + 4\frac13[/tex]

Step-by-step explanation:

Hello!

Equation of a line: [tex]y = mx + b[/tex]

  • y = output
  • m = slope
  • x = input
  • b = y-intercept

We know that the slope and a point is given, and we just need to find the y-intercept.

Plug in the slope and the values of the point into the equation and solve for "b".

Solve for b

  • [tex]y = mx + b[/tex]
  • [tex]5 = -\frac13(-2) + b[/tex]
  • [tex]5 = \frac23 + b[/tex]
  • [tex]b = 4 \frac13[/tex]

The equation of the line is [tex]y = -\frac13 x + 4\frac13[/tex]

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