Question

Write the slope intercept form of the equation for the line for (-4), (-2); 4, 3. Please help....

Answer 1

you can do this by finding the slope, plugging into point-slope form, and then conveting to slope intercept form

Answer 2

do you need help?

Answer 3

Yes please

Answer 4

ok i'll give you the steps and you plug in to do the math.
so first we're going to do the slope formula; (y2-y1)/(x2-x1)

Answer 5

thank you

Answer 6

let me know when you have your answer

Answer 7

1/8

Answer 8

I think you need to double check your math.

Answer 9

3 -(-2)/4-(-4) = 1/8

Answer 10

okay

Answer 11

sorry/ this answer should be 5/8

Answer 12

yess

Answer 13

ok now we're going to take one point, and the slope and substitute it to point-slope formula
do you know how to do this?

Answer 14

no all of this is new to me

Answer 15

oh dear ok, well no problem you're off to a great start
point-slope formula is : y-y1=m(x-x1)
x1,y1 = a coordinate
m = slope

Answer 16

can you figure out where substitution would come in?

Answer 17

sorry, I don't really know how to do this

Answer 18

it's ok.
so we for the sake of simplicity we're going to use (4,3) for our coordinate, and 5/8 for our slope

Answer 19

can you show me what the equation would look like when we substitute (4,3) to x1,y1 and 5/8 to me?
y-y1=m(x-x1)
the signs in the equations stay minus unless it is a negative number then it would have to change into addition sign bc (-)( -) = +. are you following me?

Answer 20

I'm sorry, No I can't. I'm really lost

Answer 21

it's ok i'm a visual learner too.
y-3=5/8(x-4)

Answer 22

now we can isolate this equation to slope intercept form

Answer 23

thank you. Ok

Answer 24

ok it's a little long because fractions but i will try my best to show you and explain

Answer 25

thank you

Answer 26

y-3=5/8(x-4)
Distribute the (x-4)
y-3=5/8x - 20/8
Add three to both sides
y = 5/8x - 20/8 + 3
In order to add the like terms (-20/8) and 3 we must make a common denominator
-20/8 can be simplified to -5/2. If we multiply 3 with 2/2 we will get 6/2. Now that we have a common denominator we will combine -5/2 and 6/2. This will give us 1/2.
SO our final equation should be:
y=5/8x+1/2

Answer 27

I'm not sure if you've learned point-slope for yet but if not then don't sweat it! I'm in alg 2 so I probably used a different concept than what your current math class is teaching. Hopefully the visual helped you see how I arrived to my answer even if it's a little different than what you're used to :)

Answer 28

I am trying to follow what you have wrote.
Thank you

Answer 29

you're welcome is that all you need help with?

Answer 30

I meant to say no thank you. I will use your example for the rest of my problems. Have a good day

Answer 31

You have helped me a lot. Thank you very much.

Answer 32

you're welcome fren! good luck with your math course!