Question 574578
{{{ y = x + 3 }}}
This is in the slope-intercept form which is
{{{ y = m*x + b }}}
{{{ m }}} = slope
{{{ b }}} = y-intercept
All the {{{ b }}} does is shift the straight line
up or down and does not affect the slope, {{{ m }}}
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To show this, I will graph 3 lines:
{{{ y = x + 3 }}}
{{{ y = x + 1 }}}
{{{ y = x - 6 }}}
{{{ graph( 400, 400, -5, 5, -8, 8, x + 3, x + 1, x - 6 ) }}}
Now I'll keep {{{ b }}} the same and vary the slope, {{{ m }}}
{{{ y = x + 3 }}}
{{{ y = 2x + 3 }}}
{{{ y = -5x + 3 }}}
{{{ graph( 400, 400, -5, 5, -8, 8, x + 3, 2x + 3, -5x + 3 ) }}}
Notice that the y-intercept at (0,3) remains fixed
Hope this helps