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