(05.06 lc)

which graph represents a decreasing function?

four graphs of y against x are shown. the title for the first graph is graph a, the title for the second graph is graph b, the title for the third graph is graph c, and the title for the fourth graph is graph d. graph a is a straight line joining the ordered pairs 0, 4 and 6,4. graph b is a straight line joining the points 0, 0 and 6,6. graph c is a straight line joining the points 0, 5 and 6, 0. graph d is a straight line joining the points 6, 0 and 6,5.
select one:
a. graph a
b. graph b
c. graph c
d. graph d

Graph C represents a decreasing function.

Step-by-step explanation:

Graph A:  Since y does not change when x increases from 0 to 6, this graph (a horizontal line) represents a constant function.  REJECT this choice.

Graph B:  The line connecting (0, 0) to (6, 6) is a straight line with slope +1; it's an increasing function.  REJECT this choice.

Graph C:  As we go from (0, 5) to (6, 0), y decreases by 5.  Thus, this is the correct answer choice.

Graph D is a vertical straight line; its slope is undefined.  REJECT this choice.

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225

m∠a is 90°

m∠b is 40°