## anonymous one year ago Help needed Here e_e Complete the equation of the linear function. y = ___x + ____ Fill in the Blanks

1. anonymous

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

3. anonymous

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

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

5. anonymous

Yeah

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

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))

Do you get where I'm going with this?

9. anonymous

I think i got the answer

10. P0sitr0n

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

Want to check?

12. anonymous

one sec

13. anonymous

Okay....is it 3 and 4?

Yassssss :D Nice job!

15. anonymous

Yes! Thx for the help ^_^

Anytime!

By the way, welcome to Openstudy!!

18. anonymous

Thank you :)

19. anonymous

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