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Write the equation of the line perpendicular to y=6/5x+1 that passes through the point (−9,2) in slope intercept form.

Respuesta :

Answer:

y = -5/6x + 19/2

Step-by-step explanation:

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Answer:

[tex]y = - \frac{5}{6} - 5.5[/tex]

Step-by-step explanation:

Plug the information you have into Point-Slope form

[tex]y - y_{1} = m(x - x _{1})[/tex]

So it looks like this (Note that since you are looking for the perpendicular line, you'll use the slope of the reciprocal):

[tex]y - 2 = - \frac{5}{6} (x + 9)[/tex]

From here, convert to Slope-Intercept:

[tex] y - 2 = - \frac{5}{6} x - 7.5[/tex]

And you have the solution:

[tex]y = - \frac{5}{6} - 5.5[/tex]