Question

What is an equation that is less steep than y=1/2-5

Answer 1

`y = - (1)/(4)x + 2`

Explanation:

The given line has equation

`y = (1)/(2)x - 5`

The steepness is the absolute value of the slope.

The larger the absolute value of the slope, the greater the steepness.

The steepness of

`y = (1)/(2)x - 5`

is

`| (1)/(2) | = (1)/(2) = 0.5`

The steepness of

`y = - (1)/(4)x + 2`

is

`| - (1)/(4) | = (1)/(4) =0 .25`

Therefore the second line is less steep than the first line.