using integers

Write an equation of the line which passes through the points (8, - 9) and (- 10, 11) in standard form using integer coefficients. => 10 x - y = 9 or 10 x - 9 y = - 1 or x + 9 y = 10 or 10 x + 9 y = - 1..

Write an equation of the line which passes through the points (4, - 6) and (- 7, 8) in standard form using integer coefficients. => 14 x + 11 y = - 10 or ( y + 6) = - 14 11 ( x - 4) or 1 2 x + y + 8 = 0 or 14 x + 11 y - 10 = 0..

Compare the integers - 5 and 2 using number line. => -5 < 2 or 5 < 2 or -5 > 2 or None of the above..

Alice expressed three consecutive odd integers in a distinct way. The product of the three integers is given by the polynomial x 3 - 9 x 2 + 23 x - 15 . One of her integers is expressed as x - 3 . Find the other expressions did Alice use for the other two ..

Graph the function f(x ) = ( 1 4 ) - x - 3 x using positive integers as inputs. => Graph-1 or Graph-2 or Graph-3..

Use mathematical induction to prove that 1 + 3 + 5 + ---- + (2 n - 1) = n 2 ∀ positive integers...

Use mathematical induction to prove that 14 + 18 + 22 ------ + (4 n + 10) = 2 n ( n + 6) ∀ positive integers...

Use mathematical induction to prove that 2 + 4 + 6 ------ + 2 n = n 2 + n ∀ positive integers...

Use mathematical induction to prove that 1 + 5 + 9 + ------ + (4 n - 3) = n (2 n - 1) ∀ positive integers...

Use mathematical induction to prove that 1 + 2 + 3 + ---- + n = n ( n + 1 ) 2 ∀ positive integers...