Question

explain how to graph this linear equation. 4x+2y=4
@gypsy1274 2x-3y=10

Answer 1

First solve each equation for y.

Answer 2

i'll try my best
4x+2y=4 subtract (4x from both sides)
2y=4-4x (divide by 2)
y=2-2x

Answer 3

Yes. I would keep it in \(y=mx+b\) form to make graphing easier.
\(y=-2x+2\)
Start with the y-intercept. b=y-intecept

Answer 4

please wait i was almost done and then messed up

Answer 5

No problem. Take your time.

Answer 6

That looks right.
The other equation is a little more difficult because you are dealing with fractions. I would still start by solving for y to determine the slope.

Answer 7

the fractions are mostly what i need your help with.

Answer 8

2x-3y=10
Solve for y:: What is your first step?

Answer 9

2x-3y=10(subtract 2x from both sides
-3y=10-2x
y=10/ -3 -2x/-3

Answer 10

Great. Can you determine the slope from that equation?

Answer 11

slope =-3 and 1/3?

Answer 12

\(2x-3y=10\)
\(-3y=-2x+10\)
\(y=\frac{2}{3}x+-\frac{10}{3}\)
In \(y=mx+b\) form, it is easy to see what the slope should be. m = slope = \(\frac{2}{3}\)

Answer 13

Does that make sense? Do you understand the \(y=mx+b\) form?

Answer 14

y=2/3x+-10/3 so when you divide by negatives it has the same effect as multiplying?

Answer 15

Yes. And even number of negatives makes a positive and an odd number of negatives makes a negative.

Answer 16

For additional instruction on fractions, I would like to refer you to Purple Math http://www.purplemath.com/modules/fraction3.htm
and Khan Academy www.khanacademy.org
Both are free resources. And of course feel free to ask me questions at any time.

Answer 17

im sorry can we continue using open study yahoo is too difficult for me to use

Answer 18

OK, what ever works for you.

Answer 19

ok im going to start a graph

Answer 20

y = 2/3x - 10/3
slope here is 2/3
y intercept is -10/3 or - 3 1/10
x intercept can be found by subbing in 0 for y
y = 2/3x - 10/3
0 = 2/3x - 10/3
-2/3x = -10/3
x = (-10/3) / (-2/3)
x = -10/3 * 3/2
x = -30/6 = -5 ---- x intercept is (-5,0)

now plot your points...(-5,0) and (0,-10/3)...if it makes it easier to graph, the y intercept can be plotted as (0,-3 1/10)

Answer 21

oops...y intercept is -10/3 or -3 1/3 not -3 1/10..sorry bout that