Respuesta :

Answer:

Equation of line 1  is 3 X - 4 Y = 20

Equation of line 2 is 3 X  + 4 Y = 20

Step-by-step explanation:

Given co ordinates of points as,

( -4 , 8)  and (0 , 5)

From the given two points we can determine the slop of a line

I. e slop (m) = [tex]\frac{(y2 - y1)}{(x2 - x1)}[/tex]

Or,           m  = [tex]\frac{(5 - 8)}{(0 + 4)}[/tex]

So,           m = [tex]\frac{(-3)}{(4)}[/tex]

Now equations of line can be written as ,

Y - y1 = m ( X - x1)

At points ( -4 , 8)

Y - 8   = [tex]\frac{(-3)}{(4)}[/tex] (X + 4)

So , Equation of line 1  is 3 X - 4 Y = 20

Again with points ( 0 , 5)

Y - 5   = [tex]\frac{(-3)}{(4)}[/tex] ( X - 0)

So, Equation of line 2 is 3 X  + 4 Y = 20

Hence Equation of line 1  is 3 X - 4 Y = 20  and Equation of line 2 is 3 X  + 4 Y = 20   Answer

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