Can someone please help me with my algebra homework?

Question

savannah_noelle · Answer

anonymous · Answer

y = mx+b
can you find the slope between the two points given, m?

texaschic101 · Answer

first find the slope by using the points given.
slope(m) = (y2 - y1) / (x2 - x1)
(3,6)  x1 = 3 and y1 = 6
(0,2)  x2 = 0 and y2 - 2
now sun in your points and see if you can find the slope

texaschic101 · Answer

oops...typo...sub in your points

savannah_noelle · Answer

would the slope be 4/3?

anonymous · Answer

yep

texaschic101 · Answer

y = mx + b
slope(m) = 4/3
take either of your points...(3,6)  x = 3 and y = 6
now sub
6 = 4/3(3) + b
6 = 4 + b
6 - 4 = b
2 = b

so your equation is : y = 4/3x + 2

savannah_noelle · Answer

thank you so much! @texaschic101 I understand. Do you think you can help me with a couple more?

texaschic101 · Answer

or you could have put it in point slope form and gone from there.
I can try to help you with a couple more

savannah_noelle · Answer

Actually it's saying y=4/3x+2 is incorrect :/

texaschic101 · Answer

hmmm..let me check again
Oh...is it asking for standard form ?

texaschic101 · Answer

nvm...I looked at the question again...let me try it again...hold on

anonymous · Answer

I believe you need to enter it as 
"y=(4/3)x+2" 
because the equation is correct which we obtained

texaschic101 · Answer

it seems to be correct

savannah_noelle · Answer

Oh I didn't use parenthesis, thank you @DemolisionWolf

texaschic101 · Answer

good catch DemolisionWolf

savannah_noelle · Answer

it's still saying it's incorrect :/

anonymous · Answer

>.< grr

savannah_noelle · Answer

nevermind it worked

texaschic101 · Answer

lets try the other points
y = mx + b
2 = 4/3(0) + b
2 = b

y = (4/3)x + 2

I am the same answer

texaschic101 · Answer

oh..it worked...good

anonymous · Answer

haha ^_^

texaschic101 · Answer

:)

savannah_noelle · Answer

Thanks guys :) This is the next question

savannah_noelle · Answer

attachment

savannah_noelle · Answer

I know that slope intercept form is y=mx+b, so I think the equation would look something like this: 7y=2x+10, but what do I do after writing it this way?

texaschic101 · Answer

slope intercept form is y = mx + b, where m is your slope and b is your y intercept.
2x + 7y = 10 -- subtract 2x from both sides
2x - 2x + 7y = -2x + 10 -- combine like terms
7y = -2x + 10 -- divide both sides by 7
7y/7 = -2/7x + 10/7
y = -2/7x + 10/7

slope(m) = -2/7
y intercept(b) = 10/7

texaschic101 · Answer

I am sorry...I kinda lost track of time. I have to go now....I will be back on later

savannah_noelle · Answer

Okay, thank you for helping me I really appreciate it

savannah_noelle · Answer

@DemolisionWolf can you help me with like 3 more?