Question 1075734
{{{ -3x - 2y = -5 }}}
Multiply both sides by {{{ -1 }}}
{{{ 3x + 2y = 5 }}}
Subtract {{{ 3x }}} from both sides
{{{ 2y = -3x + 5 }}}
Divide both sides by {{{ 2 }}}
{{{ y = (-3/2)*x + 5/2 }}}
The slope is negative, so this line will
go from upper left to lower right
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When {{{ x = 0 }}}, {{{ y = 5/2 }}}, so
that is the y-intercept
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Here is the graph:
{{{ graph( 400, 400, -10, 10, -10, 10, (-3/2)*x + 5/2 ) }}}