Question 34801
You started out ok with y = mx + b, and you substituted the slope correctly:
1) {{{y = (-3/4)x + b}}}
 but now you need to determine the value of b, the y-intercept. You can do this by using the given point (-2, 0) through which the line passes. Substitute the x- and y-coordinates into equation 1) and solve for b.

{{{0 = (-3/4)(-2) + b}}} 
{{{0 = 3/2 + b}}} Subtract 3/2 from both sides.
{{{b = (-3/2)}}} Now substitute this value of b into equation 1)

{{{y = (-3/4)x - 3/2}}} Multiply through by 4 to clear the fractions.
{{{4y = -3x - 6}}} Now write in standard form.
{{{3x + 4y = -6}}}