Question 454042
{{{ -3x+8y=24 }}}
Add {{{3x}}} to both sides
{{{ 8y = 3x + 24 }}}
{{{ y = (3/8)*x + 3 }}}
This is in the form {{{ y = m*x + b }}}
where {{{b = 3}}} is the y-intercept
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The x-intercept is found by setting {{{ y = 0 }}}
{{{ 0 = (3/8)*x + 3 }}}
{{{ (3/8)*x = -3 }}}
{{{ 3x = -24 }}}
{{{ x = -8 }}} is the x-intercept
Here's a graph:
{{{ graph( 400, 400, -12, 6, -4, 8, (3/8)*x + 3) }}}