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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.
Read more on x-intercept:
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