Question

For each equation, determine whether it is linear.

Equation
(a) y=x²-5
(b) y=x³
(c)y=-9x
(d) y=-x+3
Is the equation linear?
Yes
No
O

Answer 1

A = NO

B = NO

C = YES

D = YES

Explanation:

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables.

For A: The degree of variable y is 1 and the degree of variable x is 2.

So it is not linear.

For C: The degree of variable y is 1 and the degree of variable x is 1.

So it is linear.

Answer 2

See below.

Explanation:

(a) y=x²-5 NO - the x term is squared.

(b) y=x³ NO - the x term is cubed

(c) y=-9x YES

(d) y=-x+3 YES

See attached graph.