Answer: The correct option is, It is a line joining the points whose x and y coordinates add up to 4.
Step-by-step explanation:
The given equation is, 
when we take x = 1 then


when we take x = 2 then


From this we conclude that the sum of 'x' and 'y' coordinates is always equal to 4.
Hence, the correct answer is, It is a line joining the points whose x and y coordinates add up to 4.
Answer:
a=5, b=-2
Step-by-step explanation:
If you simplify the equation, you get:
3ax +6 -4x -4b - 11x - 14 = 0 =>
3ax - 15x -4b -8 = 0
group together x's and constants:
(3a-15)x -8 -4b = 0
To make this 0 for all x, we have to find an a such that 3a-15 = 0 and b such that -8-4b = 0. this leads to a=5, b=-2
Answer:
The turns of a graph is represented by the number of maximum or minimum that the function has.
If we differenciate f(x) we get:
f'(x)=4x^3+6x
f'(x)=2x(2x^2 + 3)
Therefore f'(x) =0, when x=0. Given that negative roots are not defined.
Therefore, the number of turns will be given by the number of solutions of f'(x) which is 1.
Attached you find the graph of the function which confirms the number of turns.
If the function had other solutions, the maximum number of turns it could have is 3! because f'(x) is a third degree polynomial, therefore it can't have more than 3 solutions!
Answer: -5/3
Step-by-step explanation:
Use the slope formula: 
You substitute the numbers in and subtract to get -5/3.