Question

Can someone help me turn these equations into slope intercept form?
y=6x-5
y=3x-2
x=3x+2
x=2x-1
x+y=1
4x+4y=4

Answer 1

solve for y, and you are done

Answer 2

Well a way to look at it is...the first 2 already are in that form...so try and make the others look like that

Answer 3

the third and fourth don't make sense for the question.

Answer 4

I don't understand how to do the others because some of them don't have y's

Answer 5

unless you consider x = a point slope form

Answer 6

If they don't have y's...they cannot be solved for y and therefor cannot be turned into slope intercept form

Answer 7

> I think I finally figured out the last part of assignment 6.01.
>
> Intersecting lines- y=6x-5
> y=3x-2
> Solution= (1,1)
> These intersect at only one point. The system of linear equations only have one solution.
>
> Parallel lines- x=3x+2
> x=2x-1
> Solution= No solution
> These lines never intersect because they are parallel lines. They have no points in common.
>
> The same line- x+y=1
> 4x+4y=4
> Solution=Infinity
> These lines are exactly the same. They lay directly on top of each other.
This was my homework but then my teacher told me to turn the equations into slope intercept form.

Answer 8

correct, they would have "infinite" slope, so this does not work

Answer 9

so for 3 and 4 I don't have to turn them into slope intercept
form?

Answer 10

You cannot ...no, infinite slope = no slope intercept form

Answer 11

what about the 5th and 6th one?

Answer 12

x + y = 1

how would you solve for 'y' ...?

Answer 13

Notice how in the first and second one....it is just

y = ...something

*the 'y' is by itself on that left side*

x + y = 1

we need to get 'y' alone on that left side....

Answer 14

Do I minus the x from one?

Answer 15

That would be correct....you would subtract 'x' from both sides

x + y = 1
-x -x

y = -x + 1

this is your slope intercept form

Answer 16

Yes! thanks.

Answer 17

And for the 6th one...?

Answer 18

minus 4x from 4?

Answer 19

again correct...subtract 4x from both sides

4x + 4y = 4
-4x -4x

4y = -4x + 4

now we dont want 4y....we want 'y'...so what do we do now...?

Answer 20

Minus 4y from 4?

Answer 21

not quite...to get 4y to equal y....we want to divide it by 4 right?

because

\[\frac{ 4y }{ 4 }\]

this equals 1y right? 4 only goes into 4 once....

so we divide everything by 4

4y = -4x + 4
-------------
4 4 4


y = ......?

Answer 22

y=-1x+1?

Answer 23

correct....just remember you really don't need to put -1x

y = -x + 1 would be the same thing...regardless...you are correct

Answer 24

Thanks so much!
I suck at algebra. I prefer geometry. lol

Answer 25

Wow, we are opposite...I despise geometry...and algebra is great lol

Answer 26

Yeah it's usually that way with people.
Geometry is more memory and algebra
is all work and numbers.