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

Question

?(1 point)
Responses

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 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 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 rising from left to right.

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.

This is because:

• The coefficient of \( x \) (which is -2) indicates the slope of the line, showing that it is negative.
• The constant term (-8) indicates the y-intercept, which is the point where the line crosses the y-axis.
• Since the slope is negative, the line indeed falls from left to right.