Which of the following best describes the equation below?
y= -3x-6

a) both linear and nonlinear

b) non linear

c) neither linear nor nonlinear

d) linear

Correct option which best describes the given equation y = -3x + 6 is option D that is linear.

Solution:

Need to determine whether following equation is linear or not.  

y = -3x – 6

Let’s rewrite above equation in standard form.

3x + y + 6 = 0

Now let’s see the definition of linear equation in two variables.

Equation of the form px + qy + r = 0, where p, q and r are real numbers with variables x and y represents linear equation in two variables.

In our case p = 3, q = 1, and r = 6, with variable x and y. hence equation 3x + y + 6 = 0 is a linear equation  

So correct option which best describes the given equation y = -3x + 6 is option D that is linear.

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step-by-step explanation: