Find the values of k and b if it is known that the graph of y=kx+b goes through points (2, 10) and (−7, −10).plz i dont get it

k = and b =

Given 2 points that lie on the graph of y = kx + b then the coordinates of these points will make the equation true. Substituting the coordinates into the equation allows us to find k and b

(2, 10) → 10 = 2k + b → (1)

( - 7, - 10) → - 10 = - 7k + b → (2)

subtracting (2) from (1) term by term gives

(10 - (- 10)) = (2k - (- 7k)) + (b - b)

20 = 9k → ( divide both sides by 9)

k =

Substitute this value into ( 1) or (2) and solve for b

(1) → 10 = (2 × ) + b

hence b = - =

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this