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

A. The slope is - 2 the y - intercept is 8, and the line is rising from left to right.
B. The slope is 2 the y - intercept is -8, and the line is rising from left to right.
C. The slope is - 2 the y - intercept is 8, and the line is falling from left to right.
D. 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 and y-intercept:

    • The equation is in slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
    • Here, the slope \( m = -2 \) and the y-intercept \( b = -8 \).

  2. Determine the behavior of the line:

    • A negative slope indicates that the line is falling from left to right.

Given this analysis, the correct interpretation is:

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