Question 893360
The lines can't be parallel, or the same line repeated
(1) {{{ k*x - y = -1/3 }}}
Add {{{ y }}} to both sides
(1) {{{ k*x = y - 1/3 }}}
Add {{{ 1/3 }}} to both sides
(1) {{{ k*x + 1/3  = y }}}
Write it the other way
(1) {{{ y = k*x + 1/3 }}}
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(2) {{{ 3y = 1 - 6x }}}
Switch the terms on the right
(2) {{{ 3y = -6x + 1 }}}
Divide both sides by {{{ 3 }}}
(2) {{{ y = -2x + 1/3 }}}
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These lines will be the same line 
repeated if {{{ k = -2 }}}
For any other value of {{{ k }}},
the lines will meet at one point
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{{{ k < -2 }}} or {{{ k > -2 }}}
is the answer