Given the slopes of three lines, m1=2, m2=5,m3=-4

which line would you say is the steepest? Why?

Choose one • 4 points

The line with a slope of 5 is the steepest, because the absolute value of 5 is larger than the absolute values of 2 and -4.

The line with a slope of -4 is the steepest, because the absolute value of -4 is more negative than the absolute values of 2 and 5.

The line with a slope of -4 is the steepest, because -4 is more negative than 2 and 5.
The line with a slope of 2 is the steepest, because the absolute value of 2 is smaller than the absolute values of 5 and -4.

1 answer

The correct choice is:

The line with a slope of 5 is the steepest, because the absolute value of 5 is larger than the absolute values of 2 and -4.

In terms of steepness, a greater absolute value of the slope indicates a steeper line, regardless of the sign. The absolute value of 5 (which is 5) is greater than the absolute values of 2 (which is 2) and -4 (which is 4), making the line with a slope of 5 the steepest.