Please help. 10 points and brainliest. Which system represents this graph of linear inequalities?

Explanation:

The solid boundary line is the equation y = x+5. The idea is to pick two points on the line and then use them to find the slope. So let's use (-5,0) and (0,5). The slope is...

m = (y2-y1)/(x2-x1)

m = (5-0)/(0-(-5))

m = (5-0)/(0+5)

m = 5/5

m = 1

With the slope m = 1and the point (x1,y1) = (-5,0), we then use the point slope formula

y-y1 = m(x-x1)

y-0 = 1(x-(-5))

y = x+5

The same kind of steps will be used for the dashed line as well.

We see that the shaded region is below the solid boundary line y = x+5. So we will use a less than or equal sign here to indicate to shade below and have the boundary be solid.

The dashed line's equation is y = -x+1, and we also shade below it. So we use a less than sign. We don't use "or equal to" because the dashed line tells the reader "points on this dashed line do not count as solutions".

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answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )