Question

Is the equation -2x + y = 0 a linear equation? why or why not?

a) Yes, because it is a polynomial equation.
b) No, because it contains a quadratic term.
c) Yes, because the highest power of the variable is 1.
d) No, because it involves trigonometric functions.

Answer 1

The equation -2x + y = 0 is a linear equation because it can be rewritten as y = 2x, which adheres to the linear form y = a + bx, with a slope of 2 and a y-intercept of 0.

Step-by-step explanation:

The equation -2x + y = 0 is indeed a linear equation. This can be deduced because the highest power of the variable is 1, which matches the definition of a linear equation. Linear equations represent straight lines and can be written in the form y = a + bx, where a is the y-intercept and b is the slope of the line. Since our equation can be rewritten as y = 2x, it aligns with this form with an implied y-intercept of 0 and a slope of 2.

The correct answer to whether -2x + y = 0 is a linear equation is: c) Yes, because the highest power of the variable is 1.