Question 810232
I'll pick an equation to demonstrate
{{{ y = -2x + 6 }}}
Here's the plot:
{{{ graph( 400, 400, -2, 10, -2, 10, -2x + 6 ) }}}
You can see the intercepts
(1) x-intercept is at ( 3,0 )
(2) y-intercept is at ( 0,6 )
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This is normally shortened a little by just saying:
(1) x-intercept is at 3
(2) y-intercept is at 6
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Where the line intercepts the x-axis, {{{ y = 0 }}}
Where the line intercepts the y-axis, {{{ x = 0 }}} 
This is the key to finding the intercepts
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x-intercept:
{{{ y = -2x + 6 }}}
{{{ 0 = -2x + 6 }}}
{{{ 2x = 6 }}}
{{{ x = 3 }}}
so, the x-intercept is 3
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y-intercept:
{{{ y = -2x + 6 }}}
{{{ y = -2*0 + 6 }}}
{{{ y = 6 }}}
so, the y-intercept is 6
Hope this helps