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What is the slope of the line described by the equation below?y = -6x + 3A.6B.-6C.3D.-3

Question

What is the slope of the line described by the equation below?

y = -6x + 3

A. 6
B. -6
C. 3
D. -3

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Solution

1. Break Down the Problem

To find the slope of a line given in the slope-intercept form (y = mx + b), we need to recognize that:

  • m m represents the slope,
  • b b represents the y-intercept.

2. Relevant Concepts

For the equation y=6x+3 y = -6x + 3 :

  • The coefficient of x x is the slope.

3. Analysis and Detail

In the equation y=6x+3 y = -6x + 3 :

  • The slope m m is 6 -6 .

4. Verify and Summarize

Checking the equation, the slope is clearly defined by the coefficient of x x . Thus, the slope is verified to be 6 -6 .

Final Answer

The slope of the line is B. -6.

This problem has been solved

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