1) Definitions:
1.1) Inverse statement: negating the hypothesis and the conclusion of the original statement, i.e.:
conditional statement: p → q
inverse: ~p → ~q (the symbol ~ means the negation)
1.2) Converse statement: switching the hypothesis and the conclusion of the conditional statement, i.e.:
conditional statement: p → q
converse: q → p
2) converse of the given statement
conditional: <span>If a line is vertical, then it has undefined slope.
converse: switch the hypothesis and the conclusion
if a line has undefined slope, then it is vertical <------- answer
</span>3) Inverse of the given statement
conditional: if <span>a line is vertical, then it has undefined slope.
inverse: negate both hypothesis and conclusion.
</span>if a line is not vertical, then it does not have an undefined slope <---answer
slope of line=(y2-y1)/(x2-x1)
give is
(x1,y1)=(8,2)
(x2,y2)=(10,2)
therefore slope =(2-2)/(10-8)=0/2=0
Hence
answer
Slope of line=0
Answer:
Option C. is nonlinear.
There is no specified degree in option C's equation, so it is impossible for it to be a linear equation.
Factor out -x from the expression
Not on your list, but an easy way is
.. a) swap coefficients of x and y, negating one. (Now you have 2x -3y.)
.. b) set any constant term to zero (now you have 2x -3y = 0)
.. c) translate the line to the point (5, 2) by substituting x ⇒ x-5, y⇒ y-2
2(x -5) -3(y -2) = 0
The way you've been taught, selection C is the proper choice.
