Question

which has more steepness, a line with slope of -5 or a line with slope of 3 ? the line with a slope 3 is steeper because |3| > |-5|. the line with a slope 3 is steeper because |3| < |-5| the line with a slope -5 is steeper because |-5| < |3|. the line with a slope -5 is steeper because |-5| > |3|.

Explanation:

To determine the steepness of a line, we use the absolute value of the slope. The larger the absolute value of the slope, the steeper the line.

• Calculate the absolute value of -5: \(|-5| = 5\)
• Calculate the absolute value of 3: \(|3| = 3\)

Since \(5>3\) (i.e., \(|-5| > |3|\)), the line with slope -5 is steeper.

Answer:

The line with a slope -5 is steeper because \(|-5| > |3|\).