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Find the equation of the line using the point-slope formula. Write the final equation using slope-intercept form. (1,2) with a slope of -8/9​

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linandrew41

The point-slope formula is [tex](y-y_{1}) = m(x-x_{1} )[/tex]

  • ([tex]x_{1} ,y_{1}[/tex]) is (1,2)
  • m = -8/9

Now let's plug in the values:

      [tex]y -2 = -\frac{8}{9} (x-1)[/tex]

To put it into slope-intercept form, we have to solve for y and put all other variables and constants onto one side      

   [tex]y - 2 =- \frac{8}{9} (x-1)\\y =- \frac{8}{9} x+\frac{8}{9} +2\\y = - \frac{8}{9} x+\frac{8}{9} + \frac{18}{9}\\ y = -\frac{8}{9} x+\frac{26}{9}[/tex]

Hope that helps!

       

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