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

What is the slope of the line described by the equation below? y=-6x+3 A. -6 B. 3 C. -3 D. 6
Transcript text: What is the slope of the line described by the equation below? \[ y=-6 x+3 \] A. -6 B. 3 C. -3 D. 6
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Solution

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Solution Steps

The equation of the line is given in the slope-intercept form \( y = mx + b \), where \( m \) is the slope. By comparing the given equation \( y = -6x + 3 \) with the slope-intercept form, we can directly identify the slope.

Step 1: Identify the Form of the Equation

The given equation is \( y = -6x + 3 \). This is in the slope-intercept form, \( y = mx + b \), where \( m \) represents the slope of the line.

Step 2: Extract the Slope

By comparing the given equation \( y = -6x + 3 \) with the slope-intercept form \( y = mx + b \), we can directly identify the slope \( m \) as \(-6\).

Final Answer

The slope of the line is \(\boxed{-6}\).

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