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.

1 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.