Which graph represents the solution set of the system of inequalities? y< −3x−2 y≤x−2

It would be the first graph

That is because the 2nd and 3rd graphs start at a point close to (0,-2) but it is not the correct point.

Now using (0,0) as a solution plug it in for the x and y values like so

0 <−3(0)−2 = 0 < -2

0 ≤ 0 −2 = 0 ≤ -2

This does not work so solutions from (0,0) up cannot be solutions, so the first graph must be the right answer.  

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

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