Which statements are true about the graph of y < Two-thirdsx + 1? Check all that apply. The slope of the line is 1. The line is solid. The area below the line is shaded. A solution to the inequality is (2, 3). The x-intercept of the boundary line is (Negative three-halves, 0).

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The answer would be:

The x-intercept of the boundary line is (-3/2, 0).

The area below the line is shaded.

The slope of the line should be 2/3. The area below the line shaded because the function using y<.....

Coordinate 2,3 doesn't fulfill the function. 

y < 2/3x + 1

3 < 2/3(2)+1

3< 4/3+1

3< 2.3    ---->false

X intercept is when the y variable is zero. If you put it to the equation

 y = 2/3x + 1

0= 2/3x+1

2/3x= -1

x= -3/2

The statements which are true about the graph of y < Two-thirdsx + 1 are;

  • The area below the line is shaded
  • The x-intercept of the boundary line is (Negative three-halves, 0).

Graph of inequalities;

While graphing the given inequality;

  • The boundary line is given by the equation; y = (2/3)x +1.

However, since the inequality sign is <, the area below this boundary line is shaded.

  • Additionally, the x-intercept (value of x when y= 0) of the boundary line upon evaluation is; -3/2.

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