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

Question

𝑦
=
−
2
𝑥
−
8
?(1 point)
Responses

The slope is −2
−
2
, the y
𝑦
-intercept is −8
−
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
−
2
, the y
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
−
2
, the y
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
𝑦
-intercept is −8
−
8
, and the line is rising from left to righ

Answer 1

The correct interpretation of the equation \( y = -2x - 8 \) is:

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

So, the first response correctly summarizes the characteristics of the line represented by the equation.

• The slope of -2 means that for every unit increase in \( x \), \( y \) decreases by 2 units, indicating that the line falls as you move from left to right.
• The y-intercept of -8 means the line crosses the y-axis at the point (0, -8).