Answer:
The equation of line passing through given points is 2Y + X + 7 = 0
Step-by-step explanation:
Given points of line as :
(5 , - 6) And ( -1 , - 3)
With this points, we can find the slop of line
So ,Slop ( m ) = [tex]\frac{(y2 - y1 )}{(x2 - x1 )}[/tex]
Or, m = [tex]\frac{( -3 + 6 )}{( -1 - 5 )}[/tex]
Or, m = [tex]\frac{( 3 )}{( - 6 )}[/tex]
Or, Slop = [tex]\frac{( -1 )}{( 2 )}[/tex]
Now equation of line with this slop and points is :
Y - y1 = m ( X - X1)
Or, Y + 6 = [tex]\frac{( -1 )}{( 2 )}[/tex] ( X - 5 )
Or, 2Y + 12 = - X + 5
∴ 2Y + X + 7 = 0
Hence the equation of line passing through given points is 2Y + X + 7 = 0 Answer
