Respuesta :

chetankachana

Answer:

[tex]y = -\frac53x + 20[/tex]

Step-by-step explanation:

Hello!

A line that is perpendicular to another has an opposite-reciprocal slope.

Meaning:

  • Flip the sign (+/-)
  • Flip the fraction

The slope perpendicular to 3/5 would be -5/3.

We can solve for the y-intercept by plugging in the x and y values given from the coordinate into the equation with out new slope.

Solve for B

  • [tex]y = -\frac53x + b[/tex]
  • [tex]-5 = -\frac53(15) + b[/tex]
  • [tex]-5 = -25 + b[/tex]
  • [tex]20 = b[/tex]

The y-intercept of the new line is 20.

The equation is [tex]y = -\frac53x + 20[/tex]

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