Point (-3.9,-1.4) line 6x +2

Question

write the slope intercept form of the lines through the given point (a) parallel to the line and (b) perpendicular to the given line. Point (-3.9,-1.4) line 6x +2y=9

Answer 1

Equation of line passing through (-3.9,-1.4)

 

y+1.4=m(x+3.9)

 

case 1----

 

Parallel to 6x+2y=9

                     y=-3x+9/2

 

m=-3

 

y+1.4=-3(x+3.9)

y=-3x-13.1

 

Case 2-----

 

Perpendicular to given line

 

m1*m2=-1           m1=-3

 

m2=-1/-3=1/3

 

y+1.4=1/3(x+3.9)

 

y=1/3 * x -0.1