Question

Is this equation linear in the variables of x and y:

(sin2)x-y=14

Answer 1

My answer was yes, anyone please let me know if this is right

Answer 2

if the equation is \[\Large \sin(2)*x - y = 14\] then you are correct

the sin(2) part is a number, approx 0.034899

so the equation is approximately equivalent to 0.034899x - y = 14. You can place it into y = mx+b form

Answer 3

Okay thank you, I also had another question. Why is 2sinx-y=14 non linear?

Answer 4

because of the sin(x) term

if you solve for y, you get y = 2sin(x) - 14 which graphs a curvy/wavy like equation and NOT a straight line.

https://www.desmos.com/calculator/6xg8ycssnj

Answer 5

oh okay got it, thank you

Answer 6

the big difference is what goes inside the sine function

if it's a single number that doesn't change, then you can replace the sine expression with some fixed number that doesn't change

but if x or some algebraic expression is inside the sine function, then you'll get that curve and pattern

Answer 7

no problem