Question 1142060
{{{ 4y + 8x = 28 }}}
Divide both sides by {{{ 4 }}}
{{{ y + 2x = 7 }}}
{{{ y = -2x + 7 }}}
This is in the form {{{ y = m*x + b }}}
where {{{ m }}} = slope, so
{{{ m = -2 }}}
Any line parallel to this line will also
have slope = {{{ m = -2 }}}
So now I have:
{{{ y = -2x + b }}} where {{{ b }}} = y-intercept
----------------------------------------------------
The unknown line must go through point (-6,-3),
so I can say:
{{{ -3 = -2*(-6) + b }}}
{{{ -3 = 12 + b }}}
{{{ b = -15 }}}
{{{ y = -2x - 15 }}}
------------------------------
check:
Does the line go through (-6,-3) ?
{{{ -3 = -2*(-6) - 15 }}}
{{{ -3 = 12 - 15 }}}
{{{ -3 = -3 }}}
OK