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Finite Math. Find Any Equation Perpendicular to the Line 5x-4y=8. 5x−4y=8 5 x - 4 y = 8. Choose a point that the perpendicular line will pass through. (0,0) 0 , 0

Answer:

If two lines are penpendicular their slopes has to be reciprocal, satisfying the next condition:

[tex]m_{1} * m_{2} = -1[/tex]

Step-by-step explanation:

First of all we have to obtain the slope of each line, we can do this by reducing the line equation into this form:

[tex]y = m*x + b[/tex], where m represents the slope.

  • [tex]y = \frac{5}{4}x + 2[/tex] [tex]m=\frac{5}{4}[/tex]

  1. [tex]y = \frac{5}{4}x - \frac{5}{4} \\ m=\frac{5}{4} \\ m_{1}*m =\frac{25}{16}\\NotPerpendicular[/tex]
  2. [tex]y = -\frac{4}{5}x - 3\\ m=-\frac{4}{5}\\ m_{1}*m=-1\\Perpendicular[/tex]
  3. [tex]y =\frac{4}{5}x + 1\\m=\frac{4}{5}\\ m_{1}*m=1\\NotPerpendicular[/tex]
  4. [tex]y =\frac{4}{5}x + 2\\ m=\frac{4}{5}\\m_{1}*m=1\\NotPerpendicular[/tex]

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