Question

@trwatkins1 @YoungStudier @adovbush

Answer 1

i have another questions after this one :)

Answer 2

b

Answer 3

are you sure?

Answer 4

You want to find the equation for a line that passes through the two points:
(-3,4) and (2,-1).
First of all, remember what the equation of a line is:

y = mx+b
Where:
m is the slope, and
b is the y-intercept
First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:


So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (-3,4), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=-3 and y1=4.
Also, let's call the second point you gave, (2,-1), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=2 and y2=-1.

Now, just plug the numbers into the formula for m above, like this:

m=
-1 - 4
2 - -3
or...

m=
-5
5
or...

m=-1
So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=-1x+b
Now, what about b, the y-intercept?
To find b, think about what your (x,y) points mean:
(-3,4). When x of the line is -3, y of the line must be 4.
(2,-1). When x of the line is 2, y of the line must be -1.
Because you said the line passes through each one of these two points, right?
Now, look at our line's equation so far: y=-1x+b. b is what we want, the -1 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (-3,4) and (2,-1).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(-3,4). y=mx+b or 4=-1 × -3+b, or solving for b: b=4-(-1)(-3). b=1.
(2,-1). y=mx+b or -1=-1 × 2+b, or solving for b: b=-1-(-1)(2). b=1.
See! In both cases we got the same value for b. And this completes our problem.
The equation of the line that passes through the points
(-3,4) and (2,-1)

is

y=-1x+1

Answer 5

yep

Answer 6

thx i have another :)

Answer 7

ok

Answer 8

i need to leave so what do you guyd think the answer is?

Answer 9

guys*

Answer 10

I honestly don't know.... O_O
This is some wonky stuff......

Answer 11

trwakins1 what do you think?

Answer 12

umm im having trouble of course on the last one @carlyleukhardt @phi

Answer 13

GTG!!!!