What can you interpret about the equation y=−2x−8?

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 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 −8, and the line is falling from left to right.

1 answer

To interpret the equation \( y = -2x - 8 \):

  1. Identify the slope: The coefficient of \( x \) is \(-2\), so the slope \( m \) is \(-2\).
  2. Identify the y-intercept: The constant term is \(-8\), so the y-intercept \( b \) is \(-8\).

With these values:

  • The slope of \(-2\) indicates that the line falls as you move from left to right.
  • A y-intercept of \(-8\) means that the line crosses the y-axis at the point \((0, -8)\).

Therefore, the correct interpretation is:

The slope is −2, the y-intercept is −8, and the line is falling from left to right.