Question

Help needed Here e_e
Complete the equation of the linear function.

y = ___x + ____
Fill in the Blanks

Answer 1

Okay, so do you know the basics of solving linear functions?

Answer 2

Srry to say but no i don't, i kinda wasn't paying attention in that class -_-

Answer 3

Oh my.. Lol, well I'l guess I'll teach you. So you know what coordinates are right? Like x-intercept and y-intercept?

Answer 4

Yeah

Answer 5

The equation you're trying to solve is basically finding those, and the slope of the line.
the equation is

y=mx+b

Which is slope-intercept form

Answer 6

m= slope
b= y intercept
x= variable

Look at the graph and where the line intersects on the y axis (Positive 4)
and then the next (x,y) intercept ( In this case it's (-1, 1))

Answer 7

Do you get where I'm going with this?

Answer 8

I think i got the answer

Answer 9

basically to find a line in \[\mathbb{R}^2\] you need 2 points (or the amount of coordinates for general spaces). So you need to find two points through which the line passes.
You know that it goes from \[(-2,-2)\rightarrow(-1,1)\]
Now you gotta solve the equation y=mx+b
turns out good since you have two points (two equations) and two unknowns (m and b)
To find m, just use \[m=\frac{y_2-y_1}{x_2-x_1}\], where those are the respective coordinates y and x of both points we found earlier. Now that you know m, we only need b
For this, use y=mx+b and subsitute there (x,y) of either poitns and the m
Lets take point (-2,-2) -> -2=m(-2)+b
b=-2+2m
thats it, so find m then b

Answer 10

Want to check?

Answer 11

one sec

Answer 12

Okay....is it 3 and 4?

Answer 13

Yassssss :D Nice job!

Answer 14

Yes! Thx for the help ^_^

Answer 15

Anytime!

Answer 16

By the way, welcome to Openstudy!!

Answer 17

Thank you :)

Answer 18

I got 9/10 :D again thx for the help