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

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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

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

it alot will look like this 4.4