Question 1077760
{{{ -3x + 8y = -9 }}}
This is in the so-called " standard form "
You want to get this into the form:
{{{ y = m*x + b }}} which is the " slope-intercept form "
{{{ m }}} = the slope of the straight line
{{{ b }}} = the y-intercept
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{{{ -3x + 8y = -9 }}}
Add {{{ 3x }}} to both sides
{{{ -3x + 3x + 8y = 3x - 9 }}}
{{{ 8y = 3x - 9 }}}
Divide both sides by {{{ 8 }}}
{{{ y = (3/8)*x - 9/8 }}}
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Here's a plot of this line:

{{{ graph( 400, 400, -7, 7, -7, 7, (3/8)*x - 9/8 ) }}}