Question 696034
{{{ y - 4 = -2*( x + 3) }}}
{{{ ( y - 4 ) / ( x + 3 ) = -2 }}}
This says ( change in y ) / ( change in x ) = slope
The general form is
{{{ ( y - y[1] ) / ( x - x[1] ) = m }}}
where {{{m}}} = slope and
( x[1], y[1] ) is a point on the line, so
( -3,4 ) is on the line, and the slope is {{{ -2 }}}
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{{{ y - 4 = -2*( x + 3) }}}
{{{ y - 4 = -2x - 6 }}}
{{{ y = -2x -6 + 4 }}}
{{{ y = -2x - 2 }}}
This is in slope-intercept form
check:
Does it go through (-3,4) ?
{{{ 4 = -2*(-3) - 2 }}}
{{{ 4 = 6 - 2 }}}
{{{ 4 = 4 }}}
OK
here's the plot:
{{{ graph( 400, 400, -4, 4, -4, 4, -2x - 2 ) }}}