Which graph represents the solution set of the system of inequalities? {3y≤2x+6 2x+y> 0

First graph

Step-by-step explanation:

Given equations :

We need to find which graph represents the solution set of the given system of inequalities .

Put point (1,0) in inequation , we get which is true, so solution is region towards the point (1,0) i.e, region below the line 2x+6 = 3y

Put point (1,0) in inequation , we get which is true, so solution is region towards the point (1,0) i.e, region towards the right of equation .

As we take intersecting part of both the regions , we get the shaded part as shown in the given figure .

So, answer is first graph

except a rational number. : )

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )