Respuesta :

mhanifa

Answer:

y= - 9/5x +5

Step-by-step explanation:

Slope- intercept form:

  • y= mx+b

Given line:

  • y= 5/9x - 5

Perpendicular line to the given will have a slope of -1/m, which is - 9/5,

so the form of this line is:

  • y= -9/5x +b

This line passes through point (5, -4), plug in values of x and y, we find the value of b:

  • -4= -9/5*5 +b
  • -4= - 9 +b
  • b= 9-4
  • b= 5

The required line is:

  • y= - 9/5x +5