from a handpicked tutor in LIVE 1-to-1 classes
For the linear equation y = 2x + 4, if x increases by 1 point, how much will y increase?
We will use the concept of linear equation in order to find increment in y.
Answer: There is an increment of 2 units in y.
Let us see how we will use the concept of linear equation in order to find increment in y.
We have been given a linear equation, that is, y = 2x + 4.
It is given that x increases by one point, means that x becomes (x + 1).
Now let us substitute the new value of x, that is, (x + 1) in the equation.
Hence, y' = 2(x + 1) + 4
y' = 2x + 2 + 4
y' = y + 2
Hence, if there is an increment of 1 unit in x then there is an increment of 2 units in y.