A solution to the equation is (-3,-2)
<h3>2
Answers: </h3>
B) p and the q are switched
C) Neither p or q is negated
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Explanation:
The original conditional "if P, then Q" has P and Q swap places to form the converse. So the converse would be "if Q, then P". We don't negate P, and we don't negate Q either.
Here is the full list
- Original = If P, then Q
- Converse = If Q, then P
- Inverse = If not P, then not Q
- Contrapositive = If not Q, then not P
Side notes:
- The original and contrapositive are equivalent in truth value.
- The converse and inverse are equivalent in truth value.
we have

<u>Statements</u>
<u>case A)</u> The graph is a straight line.
The statement is True
Because, this is a linear equation (see the attached figure)
<u>case B)</u> The line passes through the origin.
The statement is False
Because the point
is not a solution of the equation
Verify
Substitute the value of x and y in the equation

------> is not true
the point
is not a solution
therefore
The line does not pass through the origin
<u>case C)</u> The line passes through the point 
The statement is True
Because the point
is a solution of the equation
Verify
Substitute the value of x and y in the equation

------> is true
the point
is a solution
therefore
The line passes through the point 
<u>case D) </u>The slope of the line is 
The statement is False
Because, the slope of the line is 
<u>case E)</u> The y-intercept of the line is 
The statement is False
we know that
The y-intercept is the value of y when the value of x is equal to zero
so
For 
find the value of y

the y-intercept is equal to 
Answer:
17
Step-by-step explanation:
3x - 1; x = 6
3x - 1
3(6) - 1
18 - 1 = 17
<u>-TheUnknown</u><u>S</u><u>cientist</u>