Which value for slope represents the steepest line? Explain.

Negative twelve-fifths or negative three or negative two-thirds or negative one

well, -3 < -12/5 < -1 < -2/3

which is the steepest? remember that steepness doesn't care what the sign is. Consider steepness as the absolute value of the slope.

To determine which value for slope represents the steepest line, we need to compare the absolute values of the slopes. The absolute value represents the magnitude or steepness of a slope, regardless of its positive or negative sign.

Let's analyze the given options:

1. Negative twelve-fifths: This is written as -12/5. To compare the slopes, we can simplify this fraction to -2.4.

2. Negative three: This is represented as -3.

3. Negative two-thirds: This is written as -2/3. Simplifying this fraction gives us approximately -0.6667.

4. Negative one: This is represented as -1.

Comparing the absolute values:

- Absolute value of -2.4 is 2.4
- Absolute value of -3 is 3
- Absolute value of -0.6667 is approximately 0.6667
- Absolute value of -1 is 1

From the comparison, we can observe that the absolute value of -3 is the largest, meaning it represents the steepest line among the given options. Therefore, negative three (-3) is the value for slope that represents the steepest line.