Question

Help :) medal will be rewarded

Answer 1

hello :)

Answer 2

hi

Answer 3

do you know what numbers it goes through

Answer 4

well -4,1 is one of them

Answer 5

and hold on....

Answer 6

and 4,-1

Answer 7

and 0,0 of course

Answer 8

its a

Answer 9

ok thx do you think you can help me with more?

Answer 10

You want to find the equation for a line that passes through the two points:
(-1,4) and (,).
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, (-1,4), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=-1 and y1=4.
Also, let's call the second point you gave, (,), point #2, so the x and y numbers here will be called x2 and y2. Or, x2= and y2=.

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

m=
- 4
- -1
or...

m=
-4
1
or...

m=-4
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=-4x+b
Now, what about b, the y-intercept?
To find b, think about what your (x,y) points mean:
(-1,4). When x of the line is -1, y of the line must be 4.
(,). When x of the line is , y of the line must be .
Because you said the line passes through each one of these two points, right?
Now, look at our line's equation so far: y=-4x+b. b is what we want, the -4 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 (-1,4) and (,).

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:

(-1,4). y=mx+b or 4=-4 × -1+b, or solving for b: b=4-(-4)(-1). b=0.
(,). y=mx+b or =-4 × +b, or solving for b: b=-(-4)(). b=0.
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
(-1,4) and (,)

is

y=-4x

Notes:

b came out to be zero, so there is no "+b" term.

Answer 11

copy and paste lol :)

Answer 12

yea but sure i can try

Answer 13

thx