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My name is Ann [436]
3 years ago
9

Which equation has the least steep graph?

Mathematics
2 answers:
inn [45]3 years ago
8 0
The answer to your question is D.
elixir [45]3 years ago
4 0
<h2>Answer:</h2>

Option: D is the correct answer.

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

<h2>Step-by-step explanation:</h2>

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.

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