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

Answer:

Option: D is the correct answer.

               D)       $y=\dfrac{1}{2}x+2$

Step-by-step 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)

$y=\dfrac{-3}{4}x+5$

the modulus of slope is:

$|m|=\dfrac{3}{4}=0.75$

C)

$y=-10x-8$

The modulus of slope of line is:

$|m|=10$

D)

$y=\dfrac{1}{2}x+2$

The slope of the line is:

$|m|=\dfrac{1}{2}=0.5$

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

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