Answered

IDNLearn.com offers a user-friendly platform for finding and sharing knowledge. Our experts provide accurate and detailed responses to help you navigate any topic or issue with confidence.

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​

Sagot :

Linandrew41idn

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!

       

We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to assisting you again.