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

?(1 point)
Responses

The 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 rising from left to right.
The slope is 2, the y -intercept is negative 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. Slope: The slope (m) is the coefficient of \( x \), which in this case is \( -2 \). This means for every 1 unit increase in \( x \), \( y \) decreases by 2 units.

  2. Y-Intercept: The y-intercept (b) is the constant term, which is \( -8 \). This means the line crosses the y-axis at \( (0, -8) \).

  3. Direction of the Line: Since the slope is negative, the line falls from left to right.

Based on this interpretation, the correct response is:

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