Hi

parallel to the line 2x+3y+4=0 OR y = -(2/3)x -3/4

Good work on finding slope of the line parallel to our new line.



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

 y = mx + b  where m is the slope and b the y-intercept.  



New Line: parallel lines have identical slopes..

 y = -(2/3)x + 6  |Using the  y-intercept given that is 6 

RELATED QUESTIONS

Find an equation of the line that satisfies the given conditions.
y-intercept 2;... (answered by ikleyn)

Find an equation of the line that satisfies the given conditions:
through (-7,2);... (answered by ikleyn)

find an equation of the line that satisfies the given condition y intercept 4; parallel... (answered by stanbon)

Find an equation of the line that satisfies the given conditions.
Through (3, 5),... (answered by greenestamps)

Find an equation of the line that satisfies the given conditions.
Slope 5/3; y-intercept  (answered by jim_thompson5910)

Find an equation of the line that satisfies the given conditions.
Through 
(−6,... (answered by richwmiller)

Write the equation of the line L satisfying the given geometric conditions.

L has... (answered by Fombitz)

Find an equation of the line that satisfies the given conditions of (4,5) and is parallel  (answered by JBarnum)

Find an equation of the line that satisfies the given conditions. Through (4,5); parallel  (answered by Fombitz)