Algebra 1
posted by Esther on .
Write an equation of the line containing the given point paralled to the given line (8,6);2x=3y+4
Thank you

Esther, see your post below at 3:11pm that I answered. I gave you detailed instructions on how to do this almost exact problem.
You will never learn without attempting the problem yourself.
Post all your work if your are stuck. 
(8,6);2x=3y+4
I do understand the first part, but I still don't understand the second part. For instance,
3y=2x4
y=(2/3)4/3
the slope is 2/3
6=(2/3)(8) this is where I'm getting stuck. I don't know if I should add, divide, or multiply these numbers to come up with the answer to the last part of the equation. I don't know what i'm doing wrong. I'm sorry, I really appreciate your patience and all your help. 
(8,6); 2x = 3y + 4
3y = 2x  4
y =(2/3)x  4/3
So, slope m = 2/3
Use y = mx + b and P(8,6) to find the equation parallel
You know m = 2/3, so you have to find b.
y = 2/3 x + b
Put in x any y values and solve for b.
6 = 2/3 (8) + b
See how my equation is different than yours? Where is the b in yours?
6 = 2/3 (8) + b
6 = 16/3 + b
b = 6 + 16/3
b = 18/3 + 16/3
b = 34/3
y = 2/3 x + b
y = 2/3 x + 34/3
Check my arithmetic.
If it doesn't matter what form your new equation is in, then the above should be ok.
Hope this is clearer now. 
OH! Thank God, I think i got it,now I know what I was doing wrong. It only took me a few days to get it,(really bad)but, I think I got it. Of course, it takes practice, but I think I'll be ok, I'm gonna practice more and I should be ok, thanks to you. Thank you very, very much for clearing that up for me. God Bless you.

If it's not too much asking, can you please explain the same way with this problem?
(6,7);9x+y=6. It looks similar to the first problem, except that this one doesn't have a minus sign. Thank you, again for all your help. If I make it through college, it is going to be because of wonderful, caring people like yourself. 
Do you need a line parallel to 9x + y = 6?
Or?
I'm happy you understand!! Good work. 
I'm sorry, I am so excited that I forgot to write what is needed for this problem.
Write an equation of the line containing the given point and perpendicular to the given line.
(6,7);9x+y=6
Thank you, again! 
(6,7);9x+y=6
Put in y = mx + b form
9x + y = 6
y = 9x + 6
So slope m = 9
Perpendicular lines have slopes that are negative reciprocals of each other.
Meaning, m1 x m2 = 1
m1 = 9
9 x m2 = 1
m2 = 1/9
So, the slope of the line will be 1/9
y = 1/9 x + b
To find b, P(6,7)
y = 1/9 x + b
7 = 1/9 (6) + b
7 = 6/9 + b
7 = 2/3 + b
b = 7  2/3
b = 21/3  2/3
b = 19/3
y = 1/9 x + b
y = 1/9 x + 19/3
Do you follow ? 
Thank you for getting back to me. I seem to be having trouble figuring out the second part. For instance, I don't know how you went from 6/9 to 2/3. Also, I don't understand 72/3 or b= 21/3  2/3. I apologize, math is not my forte as you can see, i seem to learn much better step by step. I would really appreciate it if you can mention whether I should add, divide or multiply. However, since it is time consuming, if you can't, I will understand. Thank you for your patience and for all your help.
y = 1/9 x + b
7 = 1/9 (6) + b
7 = 6/9 + b
7 = 2/3 + b
b = 7  2/3
b = 21/3  2/3
b = 19/3