What are these? Like, what is the goal of these formulas?

[peak horizon]

Is it just a way to get the same y intercept and slope in a different format?

[obsidian estuary]

its the equation of a line in three different formats

all of these forms will end up giving you the same line if you graph them

so for the first one the m is the slope

which will be the same m in the second form

b in the second form is the y-intercept

standard form generally does not contain the slope or intercept but you can find it using the slope-intercept form

[dusk helm]

first u cal slope =(y2-y1)/(x2-x1)

can u follow

[peak horizon]

So it's just literally different format, at the end?

[buoyant aurora]

Yes, they can be beneficial for different things which is why there are different formats

Like obviously the 1st one tells the y intercept. The 2nd the gradient and the last one, I guess simultaneous equations

[peak horizon]

What gradient? Also, what's a gradient? (I have low math experience, sorry.)

[buoyant aurora]

The rise/run

Like how many units the slope rises for each unit across

[peak horizon]

Isn't that always visible once you get to the slope?

[buoyant aurora]

Well not always

What if it’s like 2.29462918373926393927383920

How are you gonna look at that

[peak horizon]

hmmm, I get it, so the 2nd formula is good at like "parsing" it

[buoyant aurora]

Yea it’s immediate

Like you don’t need to count out the squares

[peak horizon]

btw do you have any clue on how to know what form I need to use?

[buoyant aurora]

that looks like a gradient form

[peak horizon]

what wording or what given do I need to look to know which formula?

[buoyant aurora]

y=mx+c you kknow m so then you input y and x

well they gave you the gradient so you want to see which form makes u need to do the least working out

[peak horizon]

so in this case the given is the point and the gradient, therefore point slope is the best for getting it?

[buoyant aurora]

yea because you know y, m and x and only need to work out c

where in the point form u need to times h by the gradient

and standard form is usually never in a qu where im from unless u go into different sections of maths

[peak horizon]

what c?

[buoyant aurora]

• c

the one in y = mx + c

oh i see u use b instead

[peak horizon]

yeah, I was confused lol

this is just the example given by our prof

[buoyant aurora]

yea

lol well we always use c where im from

but any variable apart from x,y,z,m probably works

and h ig

[peak horizon]

aight, I think this really need practice ima just keep this question unsolve for now

thank you btw

[buoyant aurora]

[peak horizon]

I noticed something, two point form and point slope form are JUST THE SAME THING???

what is this thing on the box?

[buoyant aurora]

That’s the normal Form and Gradient form just all on one side

All of them are the same thing

[peak horizon]

what's the purpose of it though? like why do it has to be in a form where everything is on the left

[buoyant aurora]

it was probably what the question was asking for

all those are the same thing so they technically all have the same purpose

[peak horizon]

I see, I was confused while looking on some practice quizzes online, like some of them doesn't convert it to that form, thankfully some people in the algebra channel taught me to format it that way