The figure shows a line graph and two shaded triangles that are similar: Which statement about the slope of the line is true?

Group of answer choices

A. It is fraction 1 over 2 throughout the line.

B. It is 2 throughout the line.

C. The slope from point O to point A is fraction 1 over 2 time the slope of the line from point A to point B.

D. The slope from point O to point A is two times the slope of the line from point A to point B.

A

Step-by-step explanation:

You can use the formula change in y divided by change in x, so for this the change in y would be 2 and the change in x would be 4. This means the slope is 1/2.

In a line, the slope never changes so it's A.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.