Question 567435
Compare the slopes of the lines
First, put them all in the form
{{{ y = m*x + b }}}, where {{{ m }}}
is the slope
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(1)
{{{ 3x - y = -9 }}}
{{{ y = 3x + 9 }}}
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(2)
{{{ -6x - y = -9 }}}
{{{ y = -6x + 9 }}}
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(3)
{{{ -x + 3y = -9 }}}
{{{ 3y = x - 9 }}}
{{{ y = (1/3)*x - 3 }}}
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(4)
{{{ -6x + 2y = -9 }}}
{{{ 2y = 6x - 9 }}}
{{{ y = 3x - 9/2 }}}
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(5)
{{{ -6x - 2y = -9 }}}
{{{ 2y = -6x + 9 }}}
{{{ y = -3x + 9/2 }}}
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The slope that matches the slope of
equation (1) is equation (4):
(1) {{{ y = 3x + 9 }}}
(4) {{{ y = 3x - 9/2 }}}
{{{ m = 3 }}} for both