Questions: Find the slope and y-intercept of the line. y=6,000-30x

Find the slope and y-intercept of the line. y=6,000-30x
Transcript text: Find the slope and $y$-intercept of the line. \[ y=6,000-30 x \]
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Solution

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Solution Steps

To find the slope and y-intercept of the line given by the equation \( y = 6000 - 30x \), we need to identify the coefficients in the slope-intercept form of a linear equation, which is \( y = mx + b \). Here, \( m \) represents the slope and \( b \) represents the y-intercept.

Solution Approach
  1. Identify the coefficient of \( x \) as the slope \( m \).
  2. Identify the constant term as the y-intercept \( b \).
Step 1: Identify the Slope

The given equation of the line is

\[ y = 6000 - 30x \]

In this equation, the coefficient of \( x \) is \( -30 \). Therefore, the slope \( m \) is

\[ m = -30 \]

Step 2: Identify the Y-Intercept

The constant term in the equation is \( 6000 \). This represents the y-intercept \( b \). Thus, the y-intercept is

\[ b = 6000 \]

Final Answer

The slope of the line is \( \boxed{-30} \) and the y-intercept is \( \boxed{6000} \).

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