Which system or equation is represented in the graph? (A) y=-2
x-2y=6

(B) y=-2
x+2y=6

(C) y=-2
2×-y=3

(D) y=-2
2×+y=-3

​

Step-by-step explanation:

since the line is horizontal and passes -2 the equation of the blue line should be

remember The form of equation of a line

where m is slope of the line and b is the y-intercept we can clearly see that the red line crosses y-axis at (0,-3) therefore b=-3

to figure out m we can consider the following formula:

from the graph we acquire ∆y=1 and ∆x=2

thus substitute:

so we have figured out m and b

therefore our equation of blue line is

our given options are in standard form so

move -3 to left hand side and change its sign:

cross multiplication:

move 6 to right hand side and x to left hand side and change its sign

multiply both sides by -1:

hence, our system of linear equation is

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

answer: b)

step-by-step explanation:

its a dot plot because since the score is not high numbers.

- r3ktforgood ☕