Question

Can u explain me in short how to identify whether an eqn is linear or not (BEST ANS GETS BRAINLIEST)​

Answer 1

Answer:

To determine if an equation is a linear function, it must have the form y = mx + b (in which m is the slope and b is the y-intercept). A nonlinear function will not match this form.

Step-by-step explanation:

Answer 2

Answer:

To determine if an equation is a linear function, it must have the form y = mx + b (in which m is the slope and b is the y-intercept). A nonlinear function will not match this form.

Let me give you some examples. We’ll use the notation of f(x) = y. (That just means that ‘y’ is the output of the function ‘f’ when ‘x’ is the input’)

If f(x) = y

then f(2x) = 2y

and f(3x) = 3y

and f(4x) = 4y

and so on…

f(nx) = ny (where ’n’ is any random, real number)

So, knowing this, let’s check our function, y = -3x

f(x) = -3x = y

f(2x) = -3(2x) = -3x*2 = 2y

f(3x) = -3(3x) = -3x*3 = 3y

…

f(nx) = -3(nx) = -3x*n = ny

There you have it, your function is linear.