Question

Which equation has the least steep graph? A. y = x + 6 B. y = -x - 9 C. y = 2x + 1 D. y = -7x - 2

Answer 1

ANSWER


`y = x + 6`
and


`y = - x - 9`



EXPLANATION

The slope of a straight line graph is a number that tells us how steep it is.


A larger number means a steeper slope.



For all the options, the equation is already in the slope intercept form,

`y = mx+ c`

where m is the slope.


For option A,



`y = x + 6`

This means that,


`slope = 1`


`|1| = 1`


For option B,



`y = - x - 9`


`slope = - 1`


`| - 1| = 1`



For option C,


`y = 2x + 1`



`slope = 2`


`|2| = 2`


For option D,


`y = - 7x -2`



`slope = - 7`


`| - 7| = 7`

The equations whose slope has the least absolute values has the least steep.



Therefore equations A and B has the least steep graph.

Answer 2

A and B.

Explanation:

To get to know the graph with least slope, we have to write all equations in the form y=mx + c.

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

A. y = x + 6

For this equation m = 1

B. y = -x - 9

For equation B, m = -1

C. y = 2x + 1

In this equation, m = 2

D. y = -7x - 2

In equation D, m = -7

The equation with the highest slope is D while the one with the least slope/steep is A and B.