Question 143744
The slope-intercept form is:
y = mx+b
So all you need to do is to solve your equation for y:
{{{4x = 6-8y}}}
Subtract 6 from both sides.
{{{4x-6 = -8y}}} Now divide both sides by -8.
{{{(4x-6)/(-8) = y}}}  Simplify.
{{{y = (-1/2)x+3/4}}} Compare this with:
{{{y = mx+b}}} and you see that the slope, {{{m = -(1/2)}}} and the y-intercept, {{{b = 3/4}}}