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Which of these describes the equation –18x + 9y = –416?

A
The equation is not linear because it has 2 variables, not 1.
B
The equation is not linear because it is not in the form y = mx + b.
С
The equation is linear because it has variables with exponents of 0.
D
The equation is linear because it can be rewritten in the form y = mx + b.

User Albfan
by
8.4k points

2 Answers

7 votes

Answer:D

Explanation:

User Shubham Srivastava
by
7.0k points
3 votes

Answer:

We conclude the equation is linear because it can be rewritten in the form
y = mx + b.

Hence, option D is correct.

Explanation:

The slope-intercept form of the line or linear equation


y = mx+b

where


  • m is the slope

  • b is the y-intercept

Important Tip:

The graph of a linear equation is always a straight line.

Convert the given equation in the slope-intercept form


18x + 9y = -416

subtract 18x from both sides


18x+9y-18x = - 18x-416

simplify


9y = -18x - 416

divide both sides by 9


y=-2x-(416)/(9)

Now, comparing the equation
y=-2x-(416)/(9) with a slop-intercept form of linear equation

  • The slope m = -2
  • The y-intercept b = -416/9

Therefore, we conclude the equation is linear because it can be rewritten in the form
y = mx + b.

From the attached graph, is also clear that the graph of the equation
y=-2x-(416)/(9) is a straight line.

Hence, option D is correct.

Which of these describes the equation –18x + 9y = –416? A The equation is not linear-example-1
User Slex
by
7.7k points

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