Question 1015076
First put it into the slope-intercept form
which is: {{{ y = m*x + b }}}
{{{ m }}} is the slope of the line
{{{ b }}} is the y-intercept
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{{{ -3x - 5y = 15 }}}
Add {{{ 3x }}} to both sides
{{{ -5y = 3x+ 15 }}}
Divide both sides by {{{ -5 }}}
{{{ y = -(3/5)*x - 3 }}}
The y-intercept, {{{ 3 }}}, gives you
the point ( 0, -3 )
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The x-intercept is where {{{ y = 0 }}}
{{{ 0 = -(3/5)*x - 3 }}}
{{{ (3/5)*x = -3 }}}
{{{ x = -3*(5/3) }}}
{{{ x = -5 }}}
This is the point ( -5, 0 )
2 points are all that is needed to plot the line
Here's the plot:
{{{ graph( 400, 400, -10, 10, -10, 10, -(3/5)*x - 3 ) }}}