Question 34799
it never ceases to amaze me how students fail to understand something and THEN proceed to do more convoluted work than is actually necessary.


y = mx + c is a form of a straight line where m is the gradient and c is the y-intercept. We are given the value of m (-3/4) and also x (=-2) and y(=0), to find c.


y = mx+c
{{{ y = (-3/4)x + c }}}
{{{ 0 = (-3/4)(-2) + c }}}
{{{ 0 = (6/4) + c }}}
{{{ c = -6/4 }}}


--> so the equation of this line is {{{ y = (-3/4)x - (6/4) }}}. Now the question doesn't want it in this form. It wants no fractions first, so we re-write it as {{{ 4y = -3x - 6 }}}.


It also says "standard form" which means no negatives, so again re-arrange it:
{{{ 4y = -3x - 6 }}}
{{{ 4y + 3x + 6 = 0 }}}


jon.