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mel-nik [20]
4 years ago
7

Which lines are perpendicular to 5x + 4y = 8?

Mathematics
2 answers:
Lilit [14]4 years ago
3 0
Finite Math. Find Any Equation Perpendicular<span> to the </span>Line 5x-4y=8<span>. 5x−4y=8 5 x - 4 y = 8. Choose a point that the </span>perpendicular line<span> will pass through. (0,0) 0 , 0</span>
Nana76 [90]4 years ago
3 0

Answer:

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

m_{1} * m_{2} = -1

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:

y = m*x + b, where m represents the slope.

  • y = \frac{5}{4}x + 2 m=\frac{5}{4}

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

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