SOLUTION: find the equation of a line that contains th point (-4,2) and is parallel to the line 3x + 4y=4 This one is giving me troubles and I want to learn how its done..thank you in adv

 

Hi,

the standard slope-intercept form for an equation of a line is 

  where m is the slope and b the y-intercept.



find the equation of a line that contains the point (-4,2) 

and is parallel to the line 3x + 4y=4

First: find slope of 3x + 4y=4 :    y = , (Green Line)

New line parallel to that line(same slope):

 y = ,    |Using P(-4,2) to solve for b

 2 = (-3/4)(-4) + b

 2 - 3 = b

-1= b

 y =  Blue Line