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Which statements are true about the linear inequality y >3/4 x – 2? Check all that apply.



-The slope of the line is –2.



-The graph of y >3/4 x – 2 is a dashed line.



-The area below the line is shaded.



-One solution to the inequality is (0, 0).



-The graph intercepts the y-axis at (0, –2).

Verified Answer :

calculista

we have

\(y > \frac{3}{4}x-2\)

using a graph tool

see the attached figure

The solution is the shaded area

Statements

A The slope of the line is \(-2\).

The statement is False

Because the slope of the line is equal to \(\frac{3}{4}\)

B The graph of \(y > \frac{3}{4}x-2\) is a dashed line

The statement is True

The graph of the inequality is a dashed line, because  it has no equal signs in the problem

C The area below the line is shaded

The statement is False

Because The solution is the area above the dashed line

D One solution to the inequality is \((0,0)\)

The statement is True

because

For \(x=0\) and \(y=0\)

substitute in the inequality

\(0 > \frac{3}{4}*0-2\)

\(0 > -2\) -------->  the inequality is satisfied

E The graph intercepts the y-axis at \((0,-2)\)

The statement is True

see the attached figure


View image calculista
25popehann

Answer:

The answers are: B,D,E

Step-by-step explanation:

I got it right and i hope this helps!

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