Consider the following graph of a linear function. which equations have the same slope as the graph above?

 The correct options are

(A)

(D)

(E)

Step-by-step explanation:  We are given to select the equation that has the same slope as the given graph.

We can see that the graph is a straight line. And, (0, 2) and (-4, 8) are two points on the line graph.

So, the slope of the line in the graph will be

We know that the slope-intercept form of a straight line is

where m is the slope of the line.

Option (A):

The given equation of the line is

so the slope of the line is Since the line has same slope as the one that is graphed, this option is correct.

Option (B):

The given equation of the line is

so the slope of the line is Since the line has different slope from the one that is graphed, this option is NOT correct.

Option (C):

The given equation of the line is

so the slope of the line is Since the line has different slope from the one that is graphed, this option is NOT correct.

Option (D):

The given equation of the line is

so the slope of the line is Since the line has same slope as the one that is graphed, this option is correct.

Option (E):

The given equation of the line is

so the slope of the line is Since the line has same slope as the one that is graphed, this option is correct.

Thus, the correct options are

(A)

(D)

(E)

answer: 1 and 3

step-by-step explanation:

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.