SOLUTION: I am attempting to help my daughter with her algebra homework. It has been years since I have done algebra. I am having a problem with what I believe is a linear equation we have

Question 1106731: I am attempting to help my daughter with her algebra homework. It has been years since I have done algebra. I am having a problem with what I believe is a linear equation we have to graph.
3y=2x-2

I also have problems that Id like to see if I have gotten correct
x-2y=15 I have if x=0 then y=7.5
5y=-2x-49 I have (0,9.8) and (-3, -8.6)
y=-5x-19 I have (0,19) and (2,-9)
4y=x-13 I have (0,-3.25) and (-2, -3.75)
Can you help with the first one and identify any I have wrong so I can re work them. Thank you
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
I am attempting to help my daughter with her algebra homework. It has been years since I have done algebra. I am having a problem with what I believe is a linear equation we have to graph.
3y=2x-2
---------
It is linear, meaning the graph is a line, a straight line.
2 points are needed.
3y = 2x - 2
The simplest way to find 2 points is to find y when x=0, and x when y=0.
3y = 2x - 2
3y = 2*0 - 2
3y = -2
y = -2/3
--> the point (0,-2/3)
============
3y = 2x - 2
3*0 = 2x - 2
0 = 2x - 2
2x= 2
x = 1
--> the point (1,0)
Plot the 2 points, draw a line thru them.
---
It's a good idea to calculate and plot a 3rd point. It makes any mistakes obvious if the 3 points are not colinear.
=================================
I also have problems that Id like to see if I have gotten correct
x-2y=15 I have if x=0 then y=7.5
0-2y = 15
y = -7.5
---------
5y=-2x-49 I have (0,9.8) and (-3,-8.6)
5y = -49
y = -9.8, not +9.8
----
At x = -3:
5y = 6 - 49 = -43
y = -8.6
======================
y=-5x-19 I have (0,19) and (2,-9)
At x = 0:
y = -19 ---- wrong sign again --> (0,-19)
At x = 2:
y = -5*2 - 19 = -29 --> (2,-29)
====================
4y=x-13 I have (0,-3.25) and (-2,-3.75)
(0.-3.25) is correct
---
At x = -2:
4y = -2-13 = -15
y = -3.75 also correct
=======================================
A useful tool is the FREE graph software at
www.padowan.dk
You can enter the equations and see if your calculated points are on the line.
Use F6 to enter the equations as they're given. Pick your color.

RELATED QUESTIONS
I am trying to help my daughter with her Algebra and it has been a very long time since I (answered by ankor@dixie-net.com)

I am a Mom trying desperately to help my son with his homework. It has been along time... (answered by LilSkittleMd)

My daughter is struggling in algebra and it has been way to long since I have done it! We (answered by solver91311)

Kristin spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. If she... (answered by scott8148)

Can you please help me solve problems such as {{{1/h 5th power = h nth power}}}. What is... (answered by Theo)

I am trying to help my daughter do her homework and it has been decades since I have done (answered by josmiceli)

I am trying to help my daughter with homework and apparently it has been too long since I (answered by mananth)

I'm trying to help my daughter with her algebra homework and want to make sure I've done... (answered by MathTherapy)

I am trying to help my child with her algebra, however, it has been 30 years since my... (answered by solver91311,josmiceli)