Questions: Consider the following linear equation. y = -3x - 2 Step 1 of 2: Determine the slope and the y-intercept (entered as an ordered pair) of the equation above. Reduce all fractions to lowest terms.

Solution Steps

To determine the slope and the y-intercept of the given linear equation \( y = -3x - 2 \):

1. Identify the slope (m) and the y-intercept (b) from the equation in the form \( y = mx + b \).
2. The slope (m) is the coefficient of \( x \).
3. The y-intercept (b) is the constant term, which can be written as an ordered pair (0, b).

• The slope (m) is -3.
• The y-intercept (b) is -2, which can be written as the ordered pair (0, -2).

The given linear equation is \( y = -3x - 2 \). In the slope-intercept form \( y = mx + b \), the coefficient of \( x \) is the slope \( m \).

From the equation: \[ m = -3 \]

The constant term in the equation \( y = -3x - 2 \) is the \( y \)-intercept \( b \).

From the equation: \[ b = -2 \]

The \( y \)-intercept can be written as an ordered pair: \[ (0, -2) \]

Final Answer