Question

Which equation has the least steep graph?

A. Y = 4 x - 3
B. Y = -3/4x + 5
C. Y = -10x - 8
D. Y = 1/2x + 2

Answer 1

The answer to your question is D.

Answer 2

Option: D is the correct answer.

D)
`y=(1)/(2)x+2`

Explanation:

A line is said to be steepest if the modulus of the slope is greatest and it is least steep if the modulus of the slope i.e. |m| is least.

We know that the slope intercept form of a line is given by:

`y=mx+c`

where m is the slope of the line and c is the y-intercept of the line.

A)

`y=4x-3`

The slope of line is: 4

i.e. m=4

and |m|=4

B)

`y=(-3)/(4)x+5`

the modulus of slope is:

`|m|=(3)/(4)=0.75`

C)

`y=-10x-8`

The modulus of slope of line is:

`|m|=10`

D)

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

The slope of the line is:

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

The modulus of slope of line in options D is smallest.

Hence, the line in option: D is least steep.