Respuesta :

Answer:

[tex]y = - \frac{1}{4}x + 2[/tex]

Step-by-step explanation:

The given line has equation

[tex]y = \frac{1}{2}x - 5[/tex]

The steepness is the absolute value of the slope.

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

The steepness of

[tex]y = \frac{1}{2}x - 5[/tex]

is

[tex] | \frac{1}{2} | = \frac{1}{2} = 0.5[/tex]

The steepness of

[tex]y = - \frac{1}{4}x + 2[/tex]

is

[tex] | - \frac{1}{4} | = \frac{1}{4} =0 .25[/tex]

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