Questions: Identify the slope and y-intercept for the linear equation below. y=-1/2 x-2

Transcript text: Identify the slope and $y$-intercept for the linear equation below. \[ y=-\frac{1}{2} x-2 \]

Solution

Solution Steps

To identify the slope and $ y $-intercept of a linear equation in the form $ y = mx + b $, we need to recognize that $ m $ represents the slope and $ b $ represents the $ y $-intercept. For the given equation $ y = -\frac{1}{2}x - 2 $, we can directly read off these values.

Step 1: Identify the Form of the Equation

The given equation is $ y = -\frac{1}{2}x - 2 $. This is in the slope-intercept form, $ y = mx + b $, where $ m $ is the slope and $ b $ is the $ y $-intercept.

Step 2: Determine the Slope

From the equation $ y = -\frac{1}{2}x - 2 $, the coefficient of $ x $ is the slope. Therefore, the slope $ m $ is $ -\frac{1}{2} $.

Step 3: Determine the $ y $-Intercept

The constant term in the equation $ y = -\frac{1}{2}x - 2 $ is the $ y $-intercept. Therefore, the $ y $-intercept $ b $ is $ -2 $.