Respuesta :

Answer:

Slope of the perpendicular line = 4/7

So , general equation of line is

y = (4/7) x +c

As this line passes through (5,-2) ,it also satisfy the equation

[tex] - 2 = ( \frac{ 4}{7} ) \times 5 + c[/tex]

[tex]c = -2 - \frac{20}{7} [/tex]

[tex]c = \frac{-34}{7} [/tex]

Now the required equation :-

[tex]y = ( \frac{ 4}{7} )x + \frac{-34}{7} [/tex]

[tex]4x - 7y = 34[/tex]

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Answer:

[tex]y = \frac{4}{7} x + \frac{43}{7}[/tex]

Step-by-step explanation:

4/7 is the slope of the perpendicular line.

y-5/x--2 = 4/7; (we know the point (5, -2)

you solve this to get the answer.