Help me, for the love of gold help me with this math

I just dont know what to do!!!

 

Hey deaths nova. Hit up Entrr he is a teachers assistant as a uni and he does tutoring on sythe

 

Not sure if this is right as it's been a while since I've done this, but:

Equation for a line can be represented as:

y=mx+c

We have two points so we can substitute those both into the equation above:

(1,1): 1 = m(1) + c or c + m = 1
(2,0): 0 = m(2) + c or c + 2m = 0

Our coefficient matrix is then
[1 1]
[1 2]

And the solution matrix is
[1]
[0]

so the first missing is 2 and the second missing is 0. (Not sure why there is a pi there)

We can then form an augmented matrix using these two and do row reduction to solve for c and m:

[1 1 | 1]
[1 2 | 0]

-R1+R2 -> R2

[1 1 | 1]
[0 1 | -1]

-R2+R1 -> R1

[1 0 | 2]
[0 1 | -1]

So this corresponds to c = 2 and m = -1, or an equation of y = -x+2, which both the points they gave us lie on.

 

Thank you so much for all your help, i understand it more but not perfectly, I am doing a science degree but a part of it is some hard maths work, my worst subject in highschool. The pi symbol is just something you can click on and it will then allow you to add equation symbols into your answer if needed be. Again, thanks for your help.

 

Google "linear equation matrix form" to get a clear example http://www1.american.edu/cas/mathstat/People/kalman/mwweb/microworlds/lineqns/mateqn.html

Google "perform g-j elimination on the above system" and you get a step by step on how to do it https://people.richland.edu/james/lecture/m116/matrices/pivot.html


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