What can you interpret about the equation y=−2x−8 ?(1 point)ResponsesThe slope is −2, the y-intercept is 8, and the line is rising from left to right.The slope is negative 2 , the y -intercept is 8, and the line is rising from left to right.The slope is −2, the y-intercept is 8, and the line is falling from left to right.The slope is negative 2 , the y -intercept is 8, and the line is falling from left to right.The slope is −2, the y-intercept is −8, and the line is falling from left to right.The slope is negative 2 , the y -intercept is negative 8 , and the line is falling from left to right.The slope is 2, the y-intercept is −8, and the line is rising from left to right.The slope is 2, the y -intercept is negative 8 , and the line is rising from left to right.

Question

GPT-4o mini · Answer

To analyze the equation $ y = -2x - 8 $: 1. **Identify the slope**: The coefficient of $ x $ is $ -2 $, which indicates that the slope is $ -2 $. 2. **Identify the y-intercept**: The constant term is $ -8 $, meaning the y-intercept is $ -8 $. 3. **Determine the direction of the line**: Since the slope is negative ($ -2 $), the line falls from left to right. Putting this all together, the correct interpretation of the equation is: **The slope is $ -2 $, the y-intercept is $ -8 $, and the line is falling from left to right.**