SOLUTION: Find an equation for the line parallel to the line -3x+6y=-2 having the same y-intercept as 2x-7y=4. I need to know how to solve this problem step by step please. Not just the answ

Question 454641: Find an equation for the line parallel to the line -3x+6y=-2 having the same y-intercept as 2x-7y=4. I need to know how to solve this problem step by step please. Not just the answer for each step, but how you came to those answers.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find an equation for the line parallel to the line -3x+6y=-2 having the same y-intercept as 2x-7y=4. I need to know how to solve this problem step by step please. Not just the answer for each step, but how you came to those answers.
..
-3x+6y=-2
rewrite to standard form:y=mx+b, m=slope, b=y-intercept
6y=3x-2
y=x/2-1/3
m=1/2, b=-1/3
..
2x-7y=4
7y=2x-4
y=2x/7-4/7
m=2/7, b=-4/7
..
Because new line is parallel to line of the first equation, it will have same slope as first equation, m=1/2
New line to have same y-intercept as second equation, b=-4/7
Equation of new line:
y=x/2-4/7
RELATED QUESTIONS
find an equation for the line parallel to the 4x+6y=-7 having the same y-intercept as... (answered by mananth)

how to find an equation for the line parallel to the line -3x+9y=-9 having the same... (answered by edjones)

write an equation of the line parallel to the line given by -2x+6y=5 and having the same... (answered by FrankM)

I really don't understand the process for solving this type of problem. I've got all... (answered by solver91311)

Find an equation for the line perpendicular to the line 7x-6y=-6 having the same... (answered by josmiceli)

find an equation perpendicular to the line 6x-6y=1 having the same y-intercept as... (answered by TimothyLamb)

I have two questions, having to write an equation in standard form for each line... (answered by solver91311)

find an equation for the line parallel to the line 4x-3y=-9 having the same y-intercept... (answered by blwinbbbles)

find the equation of the line parallel to 8x-y=4 having the same y intercept as... (answered by ankor@dixie-net.com)