Which equation can pair with x-y=-2 to create a consistent and dependent system a) 6x+2y=15 b)-3x+3y=6 c)-8x-3y=2 d) 4x-4y=6

Given linear equation in standard form  x-y=-2.

Let us convert it in slope-intercept form first.

x-y =-2.

Subtracting x from both sides

x-x-y = -2-x

-y = -x-2.

Dividing both sides by -1, we get

y= x+2.

We can write it as y=1x+2.

Let us compare it with slope-intercept form y=mx+b.

On comparing, we get slope m= 1 and y-intercept b=2.

Let us check option -3x+3y=6.

Let us check it by converting in slope-intercept form.

Adding 3x on both sides we get

-3x+3x+3y=6+3x

3y = 3x + 6.

Dividing both sides each term by 3.

3y/3 = 3x/3 + 6/3.

y= 1x +2.

On comparing with slope-intercept form y=mx+b.

We got slope m=1 and y-intercept =2.

So, the equation in option B) -3x+3y=6 create a consistent and dependent system with x-y=-2.

answer:   rotate 270° clockwise about (7, 1) and reflect across the line x = 7

step-by-step explanation:

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