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:

A and B.

Step-by-step 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.

Answer 2

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.